Hypotenuse of Right Angled Triangle Calculator

✖The Height of Right Angled Triangle is the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base.ⓘ Height of Right Angled Triangle [h]			+10% -10%
✖The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.ⓘ Base of Right Angled Triangle [B]			+10% -10%

✖The Hypotenuse of Right Angled Triangle is the longest side of the right-angled triangle and it is the opposite side of the right angle(90 degrees).ⓘ Hypotenuse of Right Angled Triangle [H]

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Hypotenuse of Right Angled Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
H = sqrt(h^2+B^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Hypotenuse of Right Angled Triangle - (Measured in Meter) - The Hypotenuse of Right Angled Triangle is the longest side of the right-angled triangle and it is the opposite side of the right angle(90 degrees).
Height of Right Angled Triangle - (Measured in Meter) - The Height of Right Angled Triangle is the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base.
Base of Right Angled Triangle - (Measured in Meter) - The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.

STEP 1: Convert Input(s) to Base Unit

Height of Right Angled Triangle: 8 Meter --> 8 Meter No Conversion Required
Base of Right Angled Triangle: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = sqrt(h^2+B^2) --> sqrt(8^2+15^2)

Evaluating ... ...

H = 17

STEP 3: Convert Result to Output's Unit

17 Meter --> No Conversion Required

FINAL ANSWER

17 Meter <-- Hypotenuse of Right Angled Triangle

(Calculation completed in 00.007 seconds)

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Indian Institute of Technology (IIT), Roorkee

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< Sides of Right Angled Triangle Calculators

Hypotenuse of Right Angled Triangle

LaTeX Go Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)

Height of Right Angled Triangle

LaTeX Go Height of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Base of Right Angled Triangle^2)

Base of Right Angled Triangle

LaTeX Go Base of Right Angled Triangle = sqrt(Hypotenuse of Right Angled Triangle^2-Height of Right Angled Triangle^2)

Hypotenuse of Right Angled Triangle given Circumradius

LaTeX Go Hypotenuse of Right Angled Triangle = 2*Circumradius of Right Angled Triangle

< Important Formulas of Right Angled Triangle Calculators

Altitude of Right Angled Triangle

LaTeX Go Altitude of Right Angled Triangle = (Height of Right Angled Triangle*Base of Right Angled Triangle)/sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)

Circumradius of Right Angled Triangle given Sides

LaTeX Go Circumradius of Right Angled Triangle = (sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2))/2

Hypotenuse of Right Angled Triangle

LaTeX Go Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)

Area of Right Angled Triangle

LaTeX Go Area of Right Angled Triangle = (Base of Right Angled Triangle*Height of Right Angled Triangle)/2

Hypotenuse of Right Angled Triangle Formula

LaTeX Go

Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2)
H = sqrt(h^2+B^2)

What is Right-Angled Triangle?

A Right Triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse.

Can we apply this formula for any Triangle? What is the corollary for this theorem?

No, Pythagoras' theorem is only applicable to Right-Angled Triangles.
The hypotenuse is greater than any other side but less than the sum of the other two sides.

How to Calculate Hypotenuse of Right Angled Triangle?

Hypotenuse of Right Angled Triangle calculator uses Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2) to calculate the Hypotenuse of Right Angled Triangle, Hypotenuse of Right Angled Triangle formula is defined as the longest side of the Right-Angled Triangle and it is the side opposite to the right angle. Hypotenuse of Right Angled Triangle is denoted by H symbol.

How to calculate Hypotenuse of Right Angled Triangle using this online calculator? To use this online calculator for Hypotenuse of Right Angled Triangle, enter Height of Right Angled Triangle (h) & Base of Right Angled Triangle (B) and hit the calculate button. Here is how the Hypotenuse of Right Angled Triangle calculation can be explained with given input values -> 17 = sqrt(8^2+15^2).

FAQ

What is Hypotenuse of Right Angled Triangle?

Hypotenuse of Right Angled Triangle formula is defined as the longest side of the Right-Angled Triangle and it is the side opposite to the right angle and is represented as H = sqrt(h^2+B^2) or Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2). The Height of Right Angled Triangle is the length of the perpendicular leg of the Right Angled Triangle, adjacent to the base & The Base of Right Angled Triangle is the length of the base leg of the Right Angled Triangle, adjacent to the perpendicular leg.

How to calculate Hypotenuse of Right Angled Triangle?

Hypotenuse of Right Angled Triangle formula is defined as the longest side of the Right-Angled Triangle and it is the side opposite to the right angle is calculated using Hypotenuse of Right Angled Triangle = sqrt(Height of Right Angled Triangle^2+Base of Right Angled Triangle^2). To calculate Hypotenuse of Right Angled Triangle, you need Height of Right Angled Triangle (h) & Base of Right Angled Triangle (B). With our tool, you need to enter the respective value for Height of Right Angled Triangle & Base of Right Angled Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hypotenuse of Right Angled Triangle?

In this formula, Hypotenuse of Right Angled Triangle uses Height of Right Angled Triangle & Base of Right Angled Triangle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hypotenuse of Right Angled Triangle = 2*Circumradius of Right Angled Triangle

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