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*ri
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*ri --> 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)

Credits

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
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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*ri

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 (ri) 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*ri 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 (ri). 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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