Hypotenuse Formula in Triangle
By using Pythagoras Theorem Formula, we can calculate Hypotenuse Theorem Formula
Hypotenuse² = Perpendicular² + Base²
Here, c is denoting the length of the hypotenuse and a and b are denoting the lengths of the perpendicular and the base.
Pythagorean Theorem
Pythagorean theorem also known as Pythagoras’ theorem can be defined as a relation among the three sides (hypotenuse, base, perpendicular) of a right-angled triangle. It states that the sum of squares of two small sides(base and perpendicular) is equal to the square of the longest side (hypotenuse). This theorem is named after the Greek philosopher Pythagoras who was born around 570 BC.
Pythagoras theorem formula is c² = a² + b², where a is the perpendicular side, b is the base, and c is the hypotenuse side. The Pythagoras equation is applied to any triangle that has one of its angles equal to 90°.
Hypotenuse Formula
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.
Table of Content
- What is the Hypotenuse?
- Hypotenuse Formula in Triangle
- Hypotenuse Formula Proof
- Application of Hypotenuse Formula
- Sample Problems on Hypotenuse Formula