Edge Length 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 Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.ⓘ Edge Length of Equilateral Triangle given Exradius [l_e]

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Edge Length of Equilateral Triangle given Exradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3))
l_e = (2*r_e)/(sqrt(3))
This formula uses 1 Functions, 2 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

Edge Length of Equilateral Triangle - (Measured in Meter) - The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.
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

l_e = (2*r_e)/(sqrt(3)) --> (2*7)/(sqrt(3))

Evaluating ... ...

l_e = 8.08290376865476

STEP 3: Convert Result to Output's Unit

8.08290376865476 Meter --> No Conversion Required

FINAL ANSWER

8.08290376865476 ≈ 8.082904 Meter <-- Edge Length of Equilateral Triangle

(Calculation completed in 00.008 seconds)

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Osmania University (OU), Hyderabad

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< Edge Length of Equilateral Triangle Calculators

Edge Length of Equilateral Triangle given Length of Angle Bisector

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

Edge Length of Equilateral Triangle given Circumradius

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

Edge Length of Equilateral Triangle given Height

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

Edge Length of Equilateral Triangle given Perimeter

LaTeX Go Edge Length of Equilateral Triangle = Perimeter of Equilateral Triangle/3

Edge Length of Equilateral Triangle given Exradius Formula

LaTeX Go

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

What is 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 Edge Length of Equilateral Triangle given Exradius?

Edge Length of Equilateral Triangle given Exradius calculator uses Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3)) to calculate the Edge Length of Equilateral Triangle, The Edge Length of Equilateral Triangle given Exradius formula is defined as the length of the side of the Equilateral triangle, calculated using the exradius. Edge Length of Equilateral Triangle is denoted by l_e symbol.

How to calculate Edge Length of Equilateral Triangle given Exradius using this online calculator? To use this online calculator for Edge Length of Equilateral Triangle given Exradius, enter Exradius of Equilateral Triangle (r_e) and hit the calculate button. Here is how the Edge Length of Equilateral Triangle given Exradius calculation can be explained with given input values -> 8.082904 = (2*7)/(sqrt(3)).

FAQ

What is Edge Length of Equilateral Triangle given Exradius?

The Edge Length of Equilateral Triangle given Exradius formula is defined as the length of the side of the Equilateral triangle, calculated using the exradius and is represented as l_e = (2*r_e)/(sqrt(3)) or Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3)). Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.

How to calculate Edge Length of Equilateral Triangle given Exradius?

The Edge Length of Equilateral Triangle given Exradius formula is defined as the length of the side of the Equilateral triangle, calculated using the exradius is calculated using Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3)). To calculate Edge Length 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 Edge Length of Equilateral Triangle?

In this formula, Edge Length of Equilateral Triangle uses Exradius of Equilateral Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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