Deonte leasons presentation done completly
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The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) by taking the square root of the sum of the squares of the differences between the x- and y-coordinates. The document provides an example of using each formula to calculate the length of a side of a triangle and the distance between two points.
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Deonte leasons presentation done
The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of a right triangle and c is the hypotenuse. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) and is represented as √(x2 - x1)^2 + (y2 - y1)^2. The document provides the definitions and variables for each formula.
Deonte leasons presentation done
The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that a2 + b2 = c2, where a and b are the legs of a right triangle and c is the hypotenuse. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) and is expressed as √(x2 - x1)2 + (y2 - y1)2. Examples of applying both formulas are provided.
PT2
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It can be used to determine if a triangle is right, and to solve for missing sides. For example, if one side is 35m, another is 12m, and the hypotenuse is 37m, squaring and adding 35^2 + 12^2 equals 37^2, showing it is a right triangle. It can also solve for missing components, like finding a hypotenuse of 57.63m when the other two sides are 45m and 36m.
The Pythagorean Theorem
The Pythagorean Theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It can be used to determine if a triangle is right, and to calculate unknown sides of a right triangle if two sides are known. Examples show how to use the theorem to find a missing hypotenuse or other side by setting up and solving an equation based on the formula a^2 + b^2 = c^2.
Who is Pythagoras? What is The Pythagoras Theorem?
This document discusses the Pythagorean theorem. It provides a brief history of Pythagoras and his contributions to mathematics. It then presents two proofs of the Pythagorean theorem - using the area of squares and the area of triangles. Finally, it discusses applications of the theorem in mathematics and physics, such as determining if a triangle is right, acute, or obtuse and calculating impedance in electrical systems.
Pythagorean theorem
The document discusses the Pythagorean theorem and distance formula.
The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It is expressed as a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.
The distance formula uses the same concept as the Pythagorean theorem to calculate the distance between two points in a coordinate plane. It is written as (x2 - x1)^2 + (y2 - y1)^2 = c^2, where c is the distance between the points (x1, y1) and
Powerpoint
The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. The distance formula calculates the distance between two points and is the square root of (x2 - x1)2 + (y2 - y1)2. An example problem applies the distance formula to find the distance between the points (-1,4) and (1,3).
Distance formula 2 28-11
The Pythagorean theorem can be used to calculate the longest side of a right triangle based on the other two sides. It only applies to right triangles, with the variables representing the lengths of each leg. The distance formula measures the distance between two points in a plane by taking the difference of their x-coordinates squared plus the difference of their y-coordinates squared. For example, using the distance formula to find the distance between points (5,3) and (2,6) is √((2-5)2 + (6-3)2) = √18 = 4.2.
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Deonte leasons presentation done
The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of a right triangle and c is the hypotenuse. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) and is represented as √(x2 - x1)^2 + (y2 - y1)^2. The document provides the definitions and variables for each formula.
Deonte leasons presentation done
The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that a2 + b2 = c2, where a and b are the legs of a right triangle and c is the hypotenuse. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) and is expressed as √(x2 - x1)2 + (y2 - y1)2. Examples of applying both formulas are provided.
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The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It can be used to determine if a triangle is right, and to solve for missing sides. For example, if one side is 35m, another is 12m, and the hypotenuse is 37m, squaring and adding 35^2 + 12^2 equals 37^2, showing it is a right triangle. It can also solve for missing components, like finding a hypotenuse of 57.63m when the other two sides are 45m and 36m.
The Pythagorean Theorem
The Pythagorean Theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It can be used to determine if a triangle is right, and to calculate unknown sides of a right triangle if two sides are known. Examples show how to use the theorem to find a missing hypotenuse or other side by setting up and solving an equation based on the formula a^2 + b^2 = c^2.
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This document discusses the Pythagorean theorem. It provides a brief history of Pythagoras and his contributions to mathematics. It then presents two proofs of the Pythagorean theorem - using the area of squares and the area of triangles. Finally, it discusses applications of the theorem in mathematics and physics, such as determining if a triangle is right, acute, or obtuse and calculating impedance in electrical systems.
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The document discusses the Pythagorean theorem and distance formula.
The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It is expressed as a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.
The distance formula uses the same concept as the Pythagorean theorem to calculate the distance between two points in a coordinate plane. It is written as (x2 - x1)^2 + (y2 - y1)^2 = c^2, where c is the distance between the points (x1, y1) and
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The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. The distance formula calculates the distance between two points and is the square root of (x2 - x1)2 + (y2 - y1)2. An example problem applies the distance formula to find the distance between the points (-1,4) and (1,3).
Distance formula 2 28-11
The Pythagorean theorem can be used to calculate the longest side of a right triangle based on the other two sides. It only applies to right triangles, with the variables representing the lengths of each leg. The distance formula measures the distance between two points in a plane by taking the difference of their x-coordinates squared plus the difference of their y-coordinates squared. For example, using the distance formula to find the distance between points (5,3) and (2,6) is √((2-5)2 + (6-3)2) = √18 = 4.2.
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Similar to Deonte leasons presentation done completly
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The document discusses the Pythagorean theorem and distance formula. It explains that the Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. It also provides an example of using the distance formula, which involves subtracting the x-coordinates and y-coordinates of two points and summing the squares of the differences.
Pythagorean theorem and distance formula
The document discusses the Pythagorean theorem and distance formula.
The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It is represented by the formula A^2 + B^2 = C^2, where A and B are the legs and C is the hypotenuse. The Pythagorean theorem can only be used for right triangles.
The distance formula calculates the distance between two points. It is represented by the formula (X2-X1)^2 + (Y2-Y1)^2, where the points are (X1, Y1) and (X2, Y
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1) The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It can be used to find the length of any side of a right triangle if the other two sides are known.
2) The distance formula calculates the distance between two points in a plane by using the differences between their x- and y-coordinates, based on the Pythagorean theorem. You find the distance by taking the square root of the sum of the squared differences of the x- and y-coordinates.
3) The example calculates the distance between points (4, -3) and (7, 2) using the distance formula
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The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. It provides an example of using the theorem to solve for the length of one side. The distance formula calculates the distance between two points in the xy-plane by taking the square root of the sum of the squares of the differences between the x- and y-coordinates. An example of using the distance formula to find the distance between two points is also given.
Pythagorean theorem and distance formula
THIS IS WHAT WE BEEN DO IN THE MATH FOR THE DAY 2 DAYS ..... THANK TO MY BEST MATH TEACHER MS.JOHNSONS
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The document summarizes the Pythagorean theorem and distance formula. It states that the Pythagorean theorem equation is a^2 + b^2 = c^2, where a and b are the legs of a right triangle and c is the hypotenuse. An example problem demonstrates solving for the missing side of a right triangle. The distance formula is defined as the square root of (x2-x1)^2 + (y2-y1)^2, and a worked example finds the distance between two points.
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The document discusses the Pythagorean theorem and distance formula. It defines the Pythagorean theorem equation as a^2 + b^2 = c^2, where a and b are the legs of a right triangle and c is the hypotenuse. An example problem demonstrates using the theorem to solve for the missing side of a right triangle. The distance formula is defined as the square root of (x2-x1)^2 + (y2-y1)^2, and an example shows labeling points and plugging them into the formula to calculate the distance between two points.
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The document summarizes the Pythagorean theorem and distance formula in 3 sentences or less:
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides and is expressed as A^2 + B^2 = C^2. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) as √(x2 - x1)^2 + (y2 - y1)^2. Examples are provided to demonstrate applying the Pythagorean theorem and distance formula to solve for unknown side lengths and distances.
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The document explains the Pythagorean theorem and distance formula. The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. It provides an example of 3^2 + (-4)^2 = c^2. The distance formula gives the distance between pairs of points based on their coordinates, and is based on the Pythagorean theorem. It provides an example of calculating the distance between points (2, -4) and (2, 10).
Pythagorean theorme
The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It is used to calculate the length of the hypotenuse or other sides of a right triangle when the other two lengths are known. The distance formula gives the distance between two points by taking the square root of the sum of the squared differences between their x- and y-coordinates.
Pythagorean theorem & distance formula ppt
The Pythagorean theorem states that in any right triangle, the sum of the squares of the two shorter sides equals the square of the longest side. It is used for right triangles, which have one 90 degree angle. The distance formula calculates the distance between two points by taking the difference of the x-coordinates squared and the difference of the y-coordinates squared, adding those values, and taking the square root of the sum. An example is worked out step-by-step to demonstrate using the distance formula.
Learning plan in mathematics (repaired)
The learning plan discusses teaching students the distance formula. It includes objectives, reference materials, procedures, and activities for teaching a lesson on distance formula. Students will learn to state the distance formula, solve for distance between points, understand the connection to the Pythagorean theorem, and show enthusiasm. The lesson involves plotting points, forming a right triangle, deriving the distance formula, substituting values into it, and practicing example problems to find distances between given points.
Pythagorean theorem power point !
The document discusses the Pythagorean theorem and distance formula. It explains that the Pythagorean theorem uses the variables a, b, and c to calculate the hypotenuse of a right triangle according to the equation a^2 + b^2 = c^2. It also defines the distance formula as (X2 - X1)2 + (Y2 - Y1)2, which is used to calculate the distance between two points on a coordinate plane. An example of using the distance formula to find the distance between the points (5, -2) and (-3, 4) is shown.
Pythagorean theorem and distance formula
The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The distance formula is used to calculate the distance between two points in a plane by taking the difference of their x- and y-coordinates, squaring each, summing them, and taking the square root of the sum. An example of each is provided to demonstrate their application.
Pythagorean theorem and distance formula
The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The distance formula is used to calculate the distance between two points in a coordinate plane and involves subtracting the x- and y-coordinates of the two points and taking the square root of the sum of the squared differences. An example of each is provided to demonstrate their use.
Pythagorean theorem and distance formula jo'qwans finished powerpoint
The document discusses the Pythagorean theorem and distance formula. The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. The distance formula calculates the distance between two points by taking the difference of the x-coordinates squared plus the difference of the y-coordinates squared. An example applies the distance formula to find the distance between points (8,1) and (9,5).
Pythagorean Theorem
Pythagoras was an ancient Greek thinker, but he was not the founder of the Pythagorean theorem. That honor goes to his followers, known as the Pythagorean Brotherhood, who established the theorem over 100 years after Pythagoras' death. The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This relationship has many practical applications in fields like engineering, construction, physics, and astronomy that involve calculating distances.
Tennile in algebra .... ms jonhson
The document discusses the Pythagorean theorem and the distance formula. It explains that the Pythagorean theorem states that for any right triangle, a^2 + b^2 = c^2, where a and b are the lengths of the two sides and c is the length of the hypotenuse. It also provides an example problem. The document then explains that the distance formula calculates the distance between two points (x1, y1) and (x2, y2) by taking the difference of the x-coordinates squared and the difference of the y-coordinates squared, then summing and taking the square root of the result. It provides an example distance formula problem.
Pythagorean theorem and distance formula powerpoint1
The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle given the lengths of the other two sides. The variables a and b represent the legs of the right triangle, and c represents the hypotenuse. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) by taking the difference of the x-coordinates squared and adding it to the difference of the y-coordinates squared, then taking the square root of the sum.
1509 circle- coordinate geometry
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics
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Pythagorean theorem and distance formula jo'qwans finished powerpoint
Pythagorean theorem and distance formula jo'qwans finished powerpoint
Pythagorean theorem and distance formula powerpoint1
Pythagorean theorem and distance formula powerpoint1
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Deonte leasons presentation done completly
- 1. “Pythagorean Theorem and Distance Formula” By: Deonte Leason
- 3. The Pythagorean Theorem is a2+b2=c2.
- 4. What do the variables stand for ?
- 5. A and B stands for the legs and C stands for the Hypotenuse.
- 6. What type of triangles do we use the Theorem for?
- 7. The Theorem is used for an Right Angle.
- 8. Exp. Of the Pythagorean Theorem 4 3 (3)2 + (4)2 = c 9+16=c2 25=c2 5
- 10. The distance formula is A = (x1, y1) and B = (x2,y2)
- 11. What steps do you follow to use the distance formula
- 13. The distance formula is A = (x1, y1) and B = (x2,y2)
- 15. The distance formula is A = (x1, y1) and B = (x2,y2)
- 17. The distance formula is A = (x1, y1) and B = (x2,y2)
- 18. What steps do you follow to use the distance formula
- 20. (-3)2 +(2)2
- 21. 9 + 4
- 22. 13
- 23. 3.605