1. The Converse of the Pythagorean Theorem
If the lengths of the three sides of a triangle satisfy the Pythagorean equation, then the triangle is a right triangle.

2. How to… Write the equation (a2 + b2 =c2)
Identify the longest side length…and plug that number in for c.
Plug in the other two numbers for a and b. Order does not matter.
Square each number (multiply by itself).
Add the squares of a and b.
Compare the final answers on each side of the equal sign.
Same = right triangle
Different = not right triangle

3. Let’s Practice…
Is the following triangle a right triangle?
24, 10, 26

4. Let’s Practice…
Is the following triangle a right triangle?
10, 15, 20

5. Let’s Practice…
Is the following triangle a right triangle?
30, 24, 18

6. Let’s Practice…
Is the following triangle a right triangle?
10, 12, 15