Question

What is the Pythagorean Theorem and what is the equation for it?

Answer 1

Answer:

The Pythagorean Theorem states that in any right triangle, the sum of the squares of the lengths of the triangle's legs is the same as the square of the length of the triangle's hypotenuse. This theorem is represented by the formula.

Answer 2

The Pythagorean Theorem is simply a mathematical equation used to determine the third side of a triangle. It can be used to find out ANY side of a given triangle. 

For example, if you are given the hypotenuse of a triangle, as well as a leg, then you can simply plug everything in!  

Here is the equation:

a² + b² = c²

Where:

• a = random leg of the triangle
• b = another random leg of the triangle
• c = hypotenuse of the triangle

The Pythagorean theorem can be applied to any triangle.

• If $a^2+b^2=c^2$, the triangle is right.
• If $a^2+b^2>c^2$, the triangle is obtuse at C.
• If $a^2+b^2<c^2$, the triangle is acute at C

I've given you an example for future references, placed down below.