Hypotenuse Calculator: In geometry, the hypotenuse is a fundamental concept, especially in right-angled triangles. It’s the side opposite the right angle and is crucial for various calculations and real-world applications. GeeksforGeeks offers a free online hypotenuse calculator tool. This calculator helps you to find the hypotenuse of a right angle triangle. Their tool is easy to use and makes sure you get accurate results. It’s a handy calculator for anyone, in any area like engineering, physics etc. It also helps students and professionals with their everyday math problems.

How to use Hypotenuse Calculator

Calculating the hypotenuse manually involves using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

1. Input Side Lengths: Start by identifying the lengths of the two sides adjacent to the right angle (the legs of the triangle).

2. Apply Pythagorean Theorem: Square the lengths of the two legs, then add them together. Finally, take the square root of the sum to find the length of the hypotenuse.

3. Calculate Hypotenuse: The calculated value represents the length of the hypotenuse in the right-angled triangle.

Hypotenuse Definition

The hypotenuse is all about right triangles! The hypotenuse of a right triangle is the side opposite the right angle. It’s the longest side of the triangle and is always directly across from the right angle.

Key points about hypotenuse:

• Longest side
• Opposite the right angle
• Pythagorean Theorem

What is a Hypotenuse Calculator?

A Hypotenuse Calculator is a digital guide that assists individuals in computing the length of the hypotenuse in a right-angled triangle without having to perform manual calculations. It automates the process, making it quick and accurate.

The Pythagorean theorem is a formula used to find the hypotenuse of a right triangle. To use hypotenuse calculator, the formula looks like this:

• The square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Hypotenuse^2 = (Base^2 + Height^2)

How does Hypotenuse Calculator Work

Let’s consider a right triangle with side lengths of 3 units and 4 units.

Input Side Lengths:

The lengths of the two legs are 3 units and 4 units.

Apply Pythagorean Theorem:

Square the lengths of the legs: 3^2 = 9 and 4^2 = 16.

Then, add these squares together: 9 + 16 = 25.

Calculate Hypotenuse:

Take the square root of the sum: Sqrt 25 = 5

So, in this example, the length of the hypotenuse is 5 units.

Hypotenuse Calculator Table

Here’s a table showing the lengths of the hypotenuse for different right triangles: