1. 9.1 Pythagorean Theorem

4. Example 1: Using the Pythagorean Theorem
Find the value of x. Then tell whether the side lengths form a Pythagorean Triple.

5. Example 2: Using the Pythagorean Theorem
Find the value of x. Then tell whether the side lengths form a Pythagorean Triple.

6. Example 3: Solving a Real-Life Problem
The skyscrapers shown are connected by a skywalk with support beams. Use the Pythagorean Theorem to approximate the lengths of each support beam.

7. You try!
x ≈7.2, 𝑛𝑜
x = 4, yes
about 3.32 feet

9. Example 4: Verifying Right Triangles
Tell whether each triangle is a right triangle.

10. Example 4: Verifying Right Triangles
Tell whether each triangle is a right triangle.

11. You Try!
Tell whether each triangle is a right triangle.
Yes No

13. Example 5: Classifying Triangles

14. Example 5: Classifying Triangles

15. You try!
6. Verify the segments with lengths 3, 4 and 6 form a triangle. Is the triangle acute, right or obtuse?
Yes, obtuse