Pythagorean theorem powerpoint

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Pythagorean theorem powerpoint

  1. 1. Created By: Kenshae Clair Ill By: Kenshae Clair Pythagoren Theorem and Distance Formula
  2. 2. <ul><li>Pythagorean Theorem is related to the three sides of a right triangle. It states that c 2 = a 2 + b 2 , C is opposite the right angle which is referred to as the hypotenuse. </li></ul><ul><li>2. If the height of a triangle is five inches less than the length of its base, and if the area of the triangle is 52 squared inches, find the base and the height. </li></ul><ul><li>3. The Pythagorean Theorem only works on right triangles, but it will work on any right triangles. </li></ul>What is Pythagorean Theorem? What do the variable Stands for? What type of triangle do we use the theorem for?
  3. 3. Draw a Right Triangle with two labeled sides with numbers. <ul><li>C 2 = a 2 + b 2 </li></ul><ul><li>x 2 = 6 2 + 8 2 </li></ul><ul><li>X 2 = 36 + 64 </li></ul><ul><li>X 2 = 100 </li></ul><ul><li>X 2 = 10 </li></ul>
  4. 4. <ul><li>Given two points (X1 , Y1) and ( X2, Y2), the distance between these points is given by the formula: square root of x2 –x1 squared + y2 – y1 squared. </li></ul><ul><li>The distance 'd' between the points A = (x1, y1) and B = (x2, y2) is given by the formula: This formula is an application of Pythagoras' theorem for right triangles: </li></ul>What is the Distance Formula? What steps do you follow to use the distance formula?
  5. 5. <ul><li>(4, -3) 2 + ( 7, 2) 2 </li></ul><ul><li>7- 4 2 + 2- (-3) </li></ul><ul><li>3 2 + 5 2 </li></ul><ul><li>+ 25 = 34 </li></ul><ul><li>5.83 </li></ul>List two points Use the distance formula to find the distance between the two points

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