Mathematics

Pythagorean Theorem

Calculate the hypotenuse of a right-angled triangle.

c² = a² + b²

Formula Explanation

The square of the hypotenuse equals the sum of the squares of the other two sides.

Variables Explained

a and b = perpendicular sides; c = hypotenuse.

Solved Example

Find the hypotenuse when the perpendicular sides are 3 cm and 4 cm.
c = √(9 + 16) = 5 cm.

Exam Tip

Use this theorem only for right-angled triangles.