Objective The student will be able to:

1. ObjectiveThe student will be able to: use the Pythagorean Theorem

2. What is a right triangle? hypotenuse leg right angle It is a triangle which has an angle that is 90 degrees. The two sides that make up the right angle are called legs. The side opposite the right angle is the hypotenuse. leg

3. HYPOTENUSE a c LEG b LEG

4. Video of Pythagorean Use in the Real World https://app.discoveryeducation.com/player/view/assetGuid/7D3F7D1E-7F2D-40C9-9735-6D5004F67566 Where can you find Right Triangles in the Real World?

5. Label the Following Pictures with a, b, and c

11. The Pythagorean Theorem In a right triangle a2 + b2 = c2. HINT: The hypotenuse, c, is always the longest side.

12. The proof • https://www.youtube.com/watch?v=uaj0XcLtN5c

13. How do you prove if the sides they give you are part of a right triangle? • Substitute the numbers to see if it works. • But which number would you put under c? THE BIGGEST NUMBER IS SUBSTITUTED FOR C

14. The measures of three sides of a triangle are given below. Determine whether each triangle is a right triangle. 8.5, 3, and 8 Which side is the biggest? This must be the hypotenuse (c). Plug your information into the PythagoreanTheorem.

15. Determine whether each triangle is a right triangle if the sides are 8.5, 3, and 8 32 + 82 = (8.5 ) 2 9 + 64 = 73 73 = 73 Since this is true, the triangle is a right triangle!! If it was not true, it would not be a right triangle.

16. Is this a right triangle?

17. 25 feet Is this a right triangle?

18. Determine whether the triangle is a right triangle given the sides 21, 49, and 35 • Yes • No • Purple

19. Practice

20. Now with just numbers…