Hypotenuse Calculator

Hypotenuse Calculator is a free online tool that helps to find the hypotenuse of a right-angled triangle. The hypotenuse is the longest side of a right triangle. Furthermore, it is the side opposite the right angle.

What is a Hypotenuse Calculator?

Hypotenuse Calculator helps to calculate the hypotenuse of a right triangle with a given base and height. The Pythagoras Theorem is used to calculate the hypotenuse of a right triangle. To use the hypotenuse calculator, enter the values in the given input boxes.

Hypotenuse Calculator

NOTE: Enter values upto 3 digits only.

How to Use the Hypotenuse Calculator?

Follow the steps given below to find the hypotenuse of a right triangle using the hypotenuse calculator:

• Step 1: Go to Cuemath's online Hypotenuse Calculator.
• Step 2: Enter the base and height of the triangle in the respective input boxes.
• Step 3: Click on the "Calculate" button to find the length of the hypotenuse.
• Step 4: Click on the "Reset" button to clear the fields and enter new values.

How Does Hypotenuse Calculator Work?

A triangle in which one angle measures 90 degrees and the remaining two angles are acute is known as a right-angled triangle or right triangle. The hypotenuse of a right triangle can be determined by the Pythagoras Theorem. This theorem gives the fundamental relationship between the three sides of a right triangle. It states that the sum of squares of the height and the base of a right triangle will be equal to the square of the hypotenuse. Moreover, the three sides of a right triangle are also known as Pythagorean triples. The formula for the Pythagoras theorem is given by:

Hypotenuse² = (Base² + Height²)

The steps to find the hypotenuse of a right triangle are given below:

• Step 1: Square the base and the height; Base², Height²
• Step 2: Add the two values obtained in step 1; Base² + Height²
• Step 3: Take the square root of the value from step 2 to get the length of the hypotenuse; Hypotenuse = √(Base² + Height²)

Solved Examples on Hypotenuse Calculator

Example 1:

Find the hypotenuse of a right-angled triangle if its base is 3 units and height is 4 units. Verify it using the online hypotenuse calculator.

Solution:

Hypotenuse = √(Base² + Height²)

= √(3² + 4²)

= √25

= 5 units.

Example 2:

Find the hypotenuse of a right-angled triangle if its base is 2.5 units and height is 3.2 units. Verify it using the online hypotenuse calculator.

Solution:

Hypotenuse = √(Base² + Height²)

= √(2.5² + 3.2²)

= √16.49

= 4.061 units.

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

• Base = 7.2 units, Height = 15.6 units.
• Base = 23 units, Height = 47 units.

☛ Related Articles:

• Hypotenuse
• Right Angled Triangle
• Pythagoras Theorem

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