The Pythagorean Theorem
Before we get to the converse, let's do a quick review of the Pythagorean Theorem. Make sure to check out the full lesson on the Pythagorean Theorem if this isn't review for you.
We can use the Pythagorean Theorem to find the missing side of a right triangle. If you know two of the sides of a right triangle, you can plug them in and solve to find the missing third side.
The important thing to notice here is that in order to use the Pythagorean Theorem, you have to first know for certain that the triangle has a 90 degree angle. You could reword the theorem this way:
The order is very important! You can use the Pythagorean theorem only if you start out knowing that the triangle is a right triangle. Only then can you use a-squared plus b-squared equals c-squared to find a missing side.
Why does this matter? Open the next tab to see what happens if you switch the order around.
The Converse of the
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