This Pythagorean theorem calculator will calculate the length of any of the missing sides of a right triangle,area of a triangle be it isosceles triangle or equilateral triangle or, area of right angle triangle or the hypotenuse of the right triangle by using the hypotenuse formula.

## What is the Pythagorus theorem?

The Pythagoras theorem is if the sides of a right angle triangle are a and b and the hypotenuse is, the formula is ,

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

This mathematical theorem is credited to be developed in the sixth century BC by the Greek philosopher and mathematician Pythagoras, . Note that this theory was found used by the Indians and Babylonians, Pythagoras (or his students) , much before Pythagoras who actually popularized it.

## Pythagoras Theorem Calculator

## Calculate 3 kinds of triangle

Using this Pythagoras theoram based calculator, you can compute area of following types of triangle:

### Area of a Right Angled Triangle

A right-angled triangle has one angle at 90° and the other two acute angles sums to 90°. Therefore, the height of the triangle will be the length of the perpendicular side. You can compute the area of a right angle triangle by using following formula

**Area of a Right Triangle** = A = ½ × Base × Height

### Area of an Equilateral Triangle

An equilateral triangle is one whose all the sides are equal. Calculate the area of the equilateral triangle using the following formula:

**Area of an Equilateral Triangle** = A = (√3)/4 × side^{2}

### Area of an Isosceles Triangle

An isosceles triangle has two of its sides equal and also the angles opposite the equal sides are equal.

**Area of an Isosceles Triangle** = A = ½ (base × height)

`a² + b² = c²`

You can practice with our Pythagorean theorem calculator .

## Find Sides of Traingle Pythagorous Theorem

Using the Pythagoras theorem, you can find the length of an unknown side and the angle of a triangle. By this theorem, we can derive the base, perpendicular and hypotenuse formula. For example, suppose you want to find the hypotenuse (c) of a right-angled triangle with a base of 7 cm and a height of 8 cm.

**Then , use Pythagoras theorem a ^{2} + b^{2} = c^{2}**

**c ^{2}**=

**7**

^{2}+ 8^{2}**c ^{2}**=49+64=113

**c**=113

c=√113= 10.6

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