1. a2 + b2 = c2 Pythagorean Theorem c c b b a a
Pythagorean Theorem: relates the lengths of the legs of a triangle to the length of the hypotenuse. ONLY true for right triangles.
a2 + b2 = c2 a c b c b a

2. The Proof…

3. How to Solve… Draw a picture. Write the formula (a2 + b2 = c2)
Plug-in.
Solve.

4. Let’s Practice…
a2 + b2 = c2 5 c 4 a c b

5. Let’s Practice…
a2 + b2 = c2 8 10 b a c b

6. Let’s Practice…
a2 + b2 = c2 5 c 12 a c b

7. Let’s Practice…
a2 + b2 = c2 a 20 18 a c b

8. Let’s Practice…
a2 + b2 = c2 a c b

9. Let’s Practice…
a2 + b2 = c2 a c b

10. Let’s Practice…
a2 + b2 = c2
If the diagonal of a square is 7, what is the measure of each side of the square? What is the area of the square? a c b

11. Let’s Practice…
a2 + b2 = c2
A rectangular garden 8 meters wide has a diagonal measuring 10 meters, what is the perimeter of the garden? a c b

12. Let’s Practice…
a2 + b2 = c2
A baseball infield is a square, each side measuring 90 feet. To the nearest foot, what is the shortest distance from home plate to second base? a c b