a^{2} + b^{2} = c^{2}

The Pythagorean Theorem represents the relation between a right triangle's 3 sides. Due to the fact that there is always 1 angle positioned at 90° in a right triangle, the theorem, originally created by Greek mathematician Pythagoras, states that the area formed by the longest side (hypotenuse) is equivalent to the sum of the area of the squares that are formed by the other two sides.

a^{2} + b^{2} = c^{2}

a = side

b = side

c = hypotenuse

If two sides of any given right triangle are known, the theorem can be utilized to ascertain the length of the third side. In the case that, for example,

**a = 3** and **b = 4**

Then determining the length of **c** would simply require:

c = √a^{2} +
b^{2} =
√3^{2} + 4^{2} = √25 = 5

Similarly, the theorem proves that the length of **a** and **b** can be
ascertained
if the lengths of the other two sides are understood via the following relationships:

a = √c^{2} - b^{2}

b = √c^{2} - a^{2}