The Pythagorean Theorem
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The document discusses the Pythagorean theorem, which was developed by Pythagoras in 580 BC and 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 then provides an example of how to use the theorem to calculate the length of the hypotenuse given the lengths of the other two sides.
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The document provides a lesson on the Pythagorean theorem. It includes examples of using the theorem to find the length of hypotenuses and legs of right triangles. It also gives practice problems and their step-by-step solutions. The document aims to teach students how to apply the Pythagorean theorem to solve problems involving right triangles.
Pythagoras
This document discusses right angled triangles and the Pythagorean theorem. It defines different types of triangles, including right angled, isosceles, scalene, and equilateral triangles. It then explains the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The document provides examples of using the Pythagorean theorem to determine if a triangle is right angled, find the length of the hypotenuse or a side of a right triangle, and more.
Pythagoras Theorem
Pythagoras theorem states that for any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It was invented by the Greek philosopher and mathematician Pythagoras around 582-497 BC and has various applications, including determining if a triangle is right-angled or finding the height of an object using ladder lengths and distances.
Core sub math_att_4pythagoreantheorem
The document provides information about the Pythagorean theorem:
1) It states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
2) It gives examples of right triangles that satisfy the theorem, such as ones with sides of 3, 4, 5 or 5, 12, 13.
3) It includes an animated proof of the theorem showing how the area of the square on the hypotenuse equals the combined areas of the squares on the other two sides.
Katrina math 7H
The document discusses the Pythagorean theorem, which 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 explains that Pythagoras discovered the theorem in 500 BC and provides examples of how to use it to calculate unknown side lengths of right triangles.
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.
Pythagoras theorem
Pythagoras was an ancient Greek philosopher and mathematician born on the island of Samos in around 570 BC. He is best known for the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. While Pythagoras likely did not discover this theorem himself, he is credited as being the first to prove why it is true. The Pythagorean theorem is one of the earliest and most important theorems in mathematics.
The Theorem
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. The document explains the Pythagorean theorem and provides examples of using it to determine if a triangle is a right triangle or to find the length of a missing side.
Pythagoras.pptx
The document explains how to use the Pythagorean theorem to solve problems involving right triangles. It provides examples of using the theorem to calculate the length of a ladder/slide, the distance a diver must swim, the length of a kite string, and the distance traveled from driving directions. The theorem states that for any right triangle, the square of the hypotenuse (the side opposite the right angle) equals the sum of the squares of the other two sides. The document walks through setting up and solving examples using the formula a2 + b2 = c2, where a and b are the legs and c is the hypotenuse.
Pythagorean theorem instructional power point (5)
The document provides an explanation of the Pythagorean theorem using examples of right triangles found in baseball diamonds and ladders. It begins by defining a right triangle and the key terms of hypotenuse, legs, and the Pythagorean theorem formula a2 + b2 = c2. It then works through two word problems, solving for missing side lengths by setting up the appropriate equations and calculations based on the given information.
Pythagoras theorem ppt
The document provides an explanation of the Pythagorean theorem using examples of right triangles found in baseball diamonds and ladders. It begins by defining a right triangle and its components - the hypotenuse and two legs. It then states the Pythagorean theorem formula that the sum of the squares of the two legs equals the square of the hypotenuse. Several word problems are worked through step-by-step using the theorem to calculate missing side lengths of right triangles.
Pythagorean Theorem
today we reviewed the Pythagorean Theorem and there was one sheet handed out to the B and D class and two handed out to the C class.
B and D make sure both sides are done, C make sure the front of each is done.
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- 1. The Pythagorean Theorem What is it and how do you use it.