Practice Problems on Hypotenuse Formula

Problem 1: Find the length of the Hypotenuse of a right triangle of which the other two sides measures 7 cm and 15cm?

Problem 2: Find the perpendicular of a right angled triangle whose hypotenuse is 30 cm and whose base is 7 cm?

Problem 3: The hypotenuse of a right angled triangle is 6 units. Its base is 2 units. Find its height using the hypotenuse formula?

Problem 4: Find the base of a right angled triangle whose hypotenuse is 15 cm and whose height is 12 cm?

Problem 5: Find the length of the Hypotenuse of a right triangle of which the other two sides measures 6 cm and 12cm?

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

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What is the Hypotenuse?

In a right angle triangle the one which is just one that falls opposite to 90 degrees is the Hypotenuse. The Hypotenuse is always the longest side of a right triangle. Furthermore, in a right triangle, the square of the length of the Hypotenuse is equal to the sum of the squares of the other two sides. The term hypotenuse occurred from the Ancient Greek word hypotenuse, which means ‘extending under a right angle’. The Hypotenuse will always be the longest side in a right triangle since it is opposite of the largest angle, the 90 degrees angle...

Hypotenuse Formula in Triangle

By using Pythagoras Theorem Formula, we can calculate Hypotenuse Theorem Formula...

Hypotenuse Formula Proof

As Pythagorean theorem shows the relation in the sides of a right-angled triangle, so if the length of any side is missing, it can be calculated using the Pythagorean Theorem....

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:...

Sample Problems on Hypotenuse Formula

Problem 1: Find the hypotenuse of a right angled triangle whose base is 6 cm and whose height is 8 cm?...

Practice Problems on Hypotenuse Formula

Problem 1: Find the length of the Hypotenuse of a right triangle of which the other two sides measures 7 cm and 15cm?...

Hypotenuse Formula: FAQs

What is the Pythagorean Theorem?...

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