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

The Proof…

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

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

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

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

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

Let’s Practice… a2 + b2 = c2 a c b

Let’s Practice… a2 + b2 = c2 a c b

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

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

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