1. The Pythagorean Theorem

2. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle

3. Parts of a Right Triangle Leg Hypotenuse

4. The Pythagorean Theorem a 2 + b 2 = c 2 a b c

6. Example 1 Find the length of the hypotenuse. 3 4 c

7. Example 2 Find the length of the hypotenuse. 6 8 c

8. Example 3 Find the length of the hypotenuse 12 16 c

9. Example 4 Find the length of the unknown side 12 13 b

10. Example 5 Find the length of the unknown side. 17 15 a

11. Example 7 Find the length of the unknown side. 25 24 b

12. Pythagorean Triple All of the side lengths of the triangles we have looked at form Pythagorean Triples. If the side lengths of a right triangle are all whole numbers, they are called Pythagorean Triples.

13. Pythagorean Triples List the Pythagorean Triples we have discussed.