Height of Equilateral Triangle given Exradius Calculator

✖Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.ⓘ Exradius of Equilateral Triangle [r_e]

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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 Exradius [h]

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Height of Equilateral Triangle given Exradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Equilateral Triangle = Exradius of Equilateral Triangle/1
h = r_e/1
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.
Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.

STEP 1: Convert Input(s) to Base Unit

Exradius of Equilateral Triangle: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = r_e/1 --> 7/1

Evaluating ... ...

h = 7

STEP 3: Convert Result to Output's Unit

7 Meter --> No Conversion Required

FINAL ANSWER

7 Meter <-- Height of Equilateral Triangle

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Height of Equilateral Triangle Calculators

Height of Equilateral Triangle given Area

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

Height of Equilateral Triangle

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

Height of Equilateral Triangle given Circumradius

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

Height of Equilateral Triangle given Inradius

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

Height of Equilateral Triangle given Exradius Formula

LaTeX Go

Height of Equilateral Triangle = Exradius of Equilateral Triangle/1
h = r_e/1

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°.

What is the height of an Equilateral Triangle and how it is calculated?

The height of a Triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. In an equilateral triangle, all three sides are equal and all the angles measure 60 degrees. Its height is calculated by the formula h= √3a / 2 where h=height of an equilateral triangle and a is the length of the side of the equilateral triangle.

How to Calculate Height of Equilateral Triangle given Exradius?

Height of Equilateral Triangle given Exradius calculator uses Height of Equilateral Triangle = Exradius of Equilateral Triangle/1 to calculate the Height of Equilateral Triangle, The Height of Equilateral Triangle given Exradius formula is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side, calculated using exradius. Height of Equilateral Triangle is denoted by h symbol.

How to calculate Height of Equilateral Triangle given Exradius using this online calculator? To use this online calculator for Height of Equilateral Triangle given Exradius, enter Exradius of Equilateral Triangle (r_e) and hit the calculate button. Here is how the Height of Equilateral Triangle given Exradius calculation can be explained with given input values -> 7 = 7/1.

FAQ

What is Height of Equilateral Triangle given Exradius?

How to calculate Height of Equilateral Triangle given Exradius?

The Height of Equilateral Triangle given Exradius formula is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side, calculated using exradius is calculated using Height of Equilateral Triangle = Exradius of Equilateral Triangle/1. To calculate Height of Equilateral Triangle given Exradius, you need Exradius of Equilateral Triangle (r_e). With our tool, you need to enter the respective value for Exradius 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 Exradius of Equilateral Triangle. We can use 3 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 = 3*Inradius of Equilateral Triangle

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