Given a right triangle with a side length of 3 and a side length of 4, calculate the Hypotenuse:

The Pythagorean Theorem is shown below: Side1^{2} + Side2^{2} = Hypotenuse^{2} This is also written as a^{2} + b^{2} = c^{2} where c is the hypotenuse.

Solving for Hypotenuse by taking the square root of both sides, we get: Hypotenuse = √Side 1^{2} + Side 2^{2} or c = √a^{2} + b^{2}

Plugging in our Side 1 and Side 2, we get Hypotenuse = √3^{2} + 4^{2} Hypotenuse = √9 + 16 Hypotenuse = √25 Hypotenuse = 5