Application of Hypotenuse Formula

There are many real-life application of Hypotenuse Theorem can be seen in day-to-day life and in various fields. Below are some of the applications:

• For Navigation, the Hypotenuse Theorem is calculated in order to find the shortest distance, etc.
• In order to recognize faces in security cameras, Hypotenuse Theorem is required to understand the distance of the person from the camera.
• In engineering fields, Hypotenuse Theorem is used to calculate the unknown dimension, say, the diameter of a particular sector.
• Hypotenuse is also used in electrical engineering.

How To Find Hypotenuse of a Right Angle Triangle

To find the Length of Hypotenuse in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to square root of the sum of the squares of the lengths of the other two sides.

The formula to find length of the hypotenuse is:

c = √(a² + b²)

Where:

c = the length of the hypotenuse.

a and b = the lengths of the other two sides of right angled triangle.

How To Find the Unknown Side of Right Triangle

To find the unknown side of right angled triangle:

If we need to find a, as a is the unknown side, then transform the hypotenuse equation to the form where a is on one side and take a square root:

Formula to find:

a = √(c² – b²)

If we need to find b, as b is the unknown side, then transform the equation to the form where a is on one side and take a square root:

Formula to find:

b = √(c² – a²)

For hypotenuse c is missing and we need to find c, the formula to calculate hypotenuse c side is:

Formula to find:

c = √(a² + b²)

Read More,

• Pythagorean Theorem Formula
• Right Angled Triangle

Hypotenuse Formula in Real-Life

Hypotenuse has many application in real life. We use hypotenuse formula in many situations like:

• We use hypotenuse formula in many calculations, like determine the heights of buildings, lengths of land boundaries.
• We use hypotenuse formula in construction or designing systems in engineering
• We use hypotenuse formula in navigation, which helps to calculate the distance between two locations.
• We use hypotenuse formula in electronics, which helps engineers to calculate the voltage and current in circuit.
• Pilots use hypotenuse formula to calculate the distance between two airports.
• We use hypotenuse formula in construction or designing the infrastructure of buildings.

Hypotenuse Formula or Hypotenuse Theorem Formula is another name for Pythagoras Theorem. Hypotenuse Formula is used to calculate the third side of the right-angled triangle given the other two sides. Hypotenuse Formula can be defined as a relation among the three sides (hypotenuse, base, perpendicular) of a right-angled triangle. Hypotenuse Formula states that the sum of squares of two small sides(base and perpendicular) is equal to the square of the longest side (hypotenuse).

In this article, we will explore all the basic details of the Hypotenuse Formula, including the mathematical expression, proof, and various solved examples using the Hypotenuse Formula.