Pythagorean Theorem Formula

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB and AC are the sides and BC is the hypotenuse of the triangle, then: BC² = AB² + AC²​. In this case, AB is the base, AC is the altitude or the height, and BC is the hypotenuse.

Another way to understand the Pythagorean theorem formula is using the following figure which shows that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle.

In a right-angled triangle, the Pythagoras Theorem Formula is expressed as:

c² = a² + b²

Where,

• ‘c’ = hypotenuse of the right triangle
• ‘a’ and ‘b’ are the other two legs.