What is the Pythagorean Theorem?
The Pythagorean Theorem is the relationship between the lengths of the two legs of a right triangle and its hypotenuse. The relationship is expressed as follows:
|a2 + b2 = c2|
|a = the length of the vertical side.|
b = the length of the base.
c = the length of the side opposite of the 90° angle.
Based on this relationship, we can isolate each unknown length to solve for it.
Converse of Pythagorean Theorem
If you already know the lengths of all three sides of a triangle, the Converse of the Pythagorean Theorem can be used to determine whether or not the triangle is a right triangle.
|If a2 + b2 = c2 is true, then the triangle is a right triangle.|
|If a2 + b2 = c2 is false, then the triangle is not a right triangle.|
You can conduct your own test here: