Height of Equilateral Triangle given Inradius Calculator

✖The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.ⓘ Inradius of Equilateral Triangle [r_i]

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✖The Height of Equilateral Triangle is a perpendicular line that is drawn from any vertex of the triangle on the opposite side.ⓘ Height of Equilateral Triangle given Inradius [h]

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Formula

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Height of Equilateral Triangle given Inradius

Formula

`"h" = 3*"r"_{"i"}`

Example

`"6m"=3*"2m"`

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Height of Equilateral Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle
h = 3*r_i
This formula uses 2 Variables

Variables Used

Height of Equilateral Triangle - (Measured in Meter) - The Height of Equilateral Triangle is a perpendicular line that is drawn from any vertex of the triangle on the opposite side.
Inradius of Equilateral Triangle - (Measured in Meter) - The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Equilateral Triangle: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 3*r_i --> 3*2

Evaluating ... ...

h = 6

STEP 3: Convert Result to Output's Unit

6 Meter --> No Conversion Required

FINAL ANSWER

6 Meter <-- Height of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 9 Height of Equilateral Triangle Calculators

Height of Equilateral Triangle given Area

Go Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

Height of Equilateral Triangle given Semiperimeter

Go Height of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))

Height of Equilateral Triangle given Perimeter

Go Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))

Height of Equilateral Triangle

Go Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Height of Equilateral Triangle given Length of Angle Bisector

Go Height of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1

Height of Equilateral Triangle given Circumradius

Go Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle

Height of Equilateral Triangle given Inradius

Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Height of Equilateral Triangle given Exradius

Go Height of Equilateral Triangle = Exradius of Equilateral Triangle/1

Height of Equilateral Triangle given Median

Go Height of Equilateral Triangle = Median of Equilateral Triangle/1

< 13 Important Formulas of Equilateral Triangle Calculators

Length of Angle Bisector of Equilateral Triangle

Go Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Semiperimeter of Equilateral Triangle given Circumradius

Go Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle

Edge Length of Equilateral Triangle given Circumradius

Go Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle

Circumradius of Equilateral Triangle

Go Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3)

Inradius of Equilateral Triangle

Go Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))

Edge Length of Equilateral Triangle given Height

Go Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)

Exradius of Equilateral Triangle

Go Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Median of Equilateral Triangle

Go Median of Equilateral Triangle = (sqrt(3)*Edge Length of Equilateral Triangle)/2

Height of Equilateral Triangle

Go Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Area of Equilateral Triangle

Go Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2

Semiperimeter of Equilateral Triangle

Go Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2

Perimeter of Equilateral Triangle

Go Perimeter of Equilateral Triangle = 3*Edge Length of Equilateral Triangle

Height of Equilateral Triangle given Inradius

Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Height of Equilateral Triangle given Inradius Formula

Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle
h = 3*r_i

What is an Equilateral Triangle?

In geometry, an Equilateral Triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

How to Calculate Height of Equilateral Triangle given Inradius?

Height of Equilateral Triangle given Inradius calculator uses Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle to calculate the Height of Equilateral Triangle, The Height of Equilateral Triangle given Inradius is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side., calculated using its inradius. Height of Equilateral Triangle is denoted by h symbol.

How to calculate Height of Equilateral Triangle given Inradius using this online calculator? To use this online calculator for Height of Equilateral Triangle given Inradius, enter Inradius of Equilateral Triangle (r_i) and hit the calculate button. Here is how the Height of Equilateral Triangle given Inradius calculation can be explained with given input values -> 6 = 3*2.

FAQ

What is Height of Equilateral Triangle given Inradius?

The Height of Equilateral Triangle given Inradius is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side., calculated using its inradius and is represented as h = 3*r_i or Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle. The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

How to calculate Height of Equilateral Triangle given Inradius?

The Height of Equilateral Triangle given Inradius is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side., calculated using its inradius is calculated using Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle. To calculate Height of Equilateral Triangle given Inradius, you need Inradius of Equilateral Triangle (r_i). With our tool, you need to enter the respective value for Inradius of Equilateral 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 Height of Equilateral Triangle?

In this formula, Height of Equilateral Triangle uses Inradius of Equilateral Triangle. We can use 9 other way(s) to calculate the same, which is/are as follows -

Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))
Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
Height of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))
Height of Equilateral Triangle = Exradius of Equilateral Triangle/1
Height of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1
Height of Equilateral Triangle = Median of Equilateral Triangle/1
Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

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