1. 5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

2. RIGHT TRIANGLES
Two sides that form the right angle are called the LEGS
The side opposite the right angle is called the HYPOTENUSE

3. PYTHAGOREAN THEOREM
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

4. EXAMPLE 1
Find the length of the missing side.

5. EXAMPLE 2

6. YOU TRY IT…

7. PYTHAGOREAN TRIPLES
Examples:
3,4,5
8,15,17
5,12,13

8. EXAMPLE 3

9. DISTANCE FORMULA
The Pythagorean Theorem can be used to develop the distance formula, which gives the distance between any 2 points on the coordinate plane

10. EXAMPLE 4

11. YOU TRY IT…