Pythagorean Theorem Calculator

Pythagoras Theorem Calculator

Pythagoras theorem calculator helps to find the length of the unknown side of the right-angled triangle by using the Pythagorean theorem.

It solves the equation for side a, b, or c and calculates the final result with one click.

What is Pythagorean Theorem?

This theorem describes how all three sides of a right triangle are connected in Euclidean geometry.

Pythagoras Theorem states that the “sum of the squares of the two sides of a right triangle equals to the square of the hypotenuse.”

The hypotenuse is opposite to 90^° and it is considered as the longest side in a right triangle.

Pythagorean Theorem Formula

According to the above definition, the Pythagorean equation is:

Hypotenuse² = Perpendicular² + Base²

Or

c² = a² + b²

Where,

c is the hypotenuse,

a is an adjacent side,

b refers to the opposite side of the hypotenuse.

The Pythagorean Theorem solver uses the above formula to find the length of the unknown side of the right triangle.

How to find an unknown Side of a Right Triangle?

The Pythagorean Theorem solver uses the above formula to find the length of the unknown side of a right triangle.

To find the length of the hypotenuse ‘c’, it uses the below equation:

c = √(a² + b²)

To calculate the length of the side ‘a’, it uses the below equation:

a = √(c² - b²)

And to solve the length of the side ‘b’, it uses the following equation:

b = √(c² - a²)

Example:

Consider the smallest Pythagoras triple as a=4, b=3. Calculate the unknown side of the right-angle triangle.

Step 1: Use the Pythagorean Theorem equation.

c² = a² + b²

Step 2: Enter the values into the equation.

c²= 4² + 3²

Step 3: Complete the calculations.

c² = 16 + 9

c² = 25

Take square root on both sides.

√c² = √25

c = 5

Note: Pythagorean triples are the set of three integers that satisfy the Pythagoras theorem.