1. 7.3 Day 2: The Pythagorean Theorem
Essential Question: How do you use the Pythagorean Theorem to find the missing leg of a right triangle?

2. Example 1
Find the missing length of the right triangle.

3. Example 2
Find the missing length of the right triangle.

4. Example 3
Each rectangular section of a fence is braced by a board nailed on the diagonal of the section. The fence is 6 ft tall and the brace is 10 ft long. What is the length of the section?

5. On Your Own
Find the missing length of the right triangle.

6. Tell whether the given side lengths form a right triangle.
8, 15, 17
a2 + b2 = c2
Compare a² + b² to c².
= 172
Substitute.
= 289
Simplify.
289 = 289
Add.
The side lengths form a right triangle.

7. Tell whether the given side lengths form a right triangle.
8, 10, 13
a2 + b2 = c2
Compare a² + b² to c².
= 132
Substitute.
= 169
Simplify.
164 ≠ 169 x
Add.
The side lengths do not form a right triangle.

8. On Your Own
Tell whether the given side lengths form a right triangle.
9, 18, 21

9. Find x.