1. Warm Up:

2. Warm Up: Simplify each radical:

3. Warm Up: Classify the triangle

4. Vocabulary:
Pythagorean Triple: When short leg squared plus the long leg squared equal the hypotenuse squared.

6. Using the Pythagorean Theorem
Lesson 29
Using the Pythagorean Theorem

7. New Concepts:

8. Common Pythagorean Triples:
There are 16 primitive Pythagorean triples with c ≤ 100:
(3, 4, 5)
(5, 12, 13)
(8, 15, 17)
(7, 24, 25)
(20, 21, 29)
(12, 35, 37)
(9, 40, 41)
(28, 45, 53)
(11, 60, 61)
(16, 63, 65)
(33, 56, 65)
(48, 55, 73)
(13, 84, 85)
(36, 77, 85)
(39, 80, 89)
(65, 72, 97)

9. Example 1: Finding Pythagorean Triples
Do the side lengths form a triple?

10. Example 1: Finding Pythagorean Triples
Do the side lengths form a triple?

11. Example 2: Simplifying Radicals in Right Triangles:
Find the value of x. Give your answer in simplified radical form.

12. Your Turn!
Find the value of x. Give your answer in simplified radical form.

13. Your Turn!

14. Your Turn!

15. Your Turn!

16. Your Turn!