# Hypotenuse Calculator

Hypotenuse Calculator is a free online tool that helps to find hypotenuse of a right angled triangle.

## What is a Hypotenuse Calculator?

'Hypotenuse Calculator' is a free online tool which helps you to calculate the hypotenuse of a triangle with the given base and height. Cuemath's Hypotenuse Calculator, gets the values of base and height and finds the length of the hypotenuse within a few seconds.

Note: Enter numbers up to 3 digits.

## How to Use the Hypotenuse Calculator?

Follow the steps given below to use the calculator and find the hypotenuse of a triangle:

**Step 1:**Enter the base and height of the triangle in the respective input boxes.**Step 2:**Click on the**"Calculate"**button to find the length of the hypotenuse.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the new values.

## How to Find the Hypotenuse of a Triangle?

In a right-angled triangle, the longest side or the side opposite to the right angle is termed** **as the **hypotenuse. **The hypotenuse of a right-angled triangle is calculated with the help of the Pythagoras Theorem. For example, if 'a' is the height of the triangle, 'b' is the base, and c is the hypotenuse, then, according to the pythagoras theorem, the sum of the squares of the base and height is equal to the square of the length of the hypotenuse. This can be understood if we observe the following right angled triangle, where AC is the hypotenuse, BC is the base, and AB is the height. According to the pythagoras theorem, (AC)^{2}= (AB)^{2 }+ (BC)^{2}.

In other words, the square of the hypotenuse (longest side) is equal to sum of the squares of the other two sides (base and height) of the triangle. The hypotenuse can be calculated with the help of the following formula:

Hypotenuse = **√**(Base**\(^2\)**+Height\(^2\))

**Solved Example:**

Find the hypotenuse of a right angled triangle if its base is 3 units and height is 4 units.

**Solution:**

Hypotenuse = **√**(Base**\(^2\)**+Height\(^2\))

= **√**(3**\(^2\)**+4\(^2\))

= **√**25 = 5 units.

Now, you can try the calculator to find the hypotenuse of the triangles with the following dimensions:

- Find the hypotenuse of a right-angled triangle whose base is 7 units and height is 15 units.
- Find the hypotenuse of a right-angled triangle whose base is 23 units and height is 47 units.