Edge Length 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 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 Inradius [l_e]

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Formula

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Edge Length of Equilateral Triangle given Inradius

Formula

`"l"_{"e"} = 2*sqrt(3)*"r"_{"i"}`

Example

`"6.928203m"=2*sqrt(3)*"2m"`

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Edge Length of Equilateral Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Equilateral Triangle = 2*sqrt(3)*Inradius of Equilateral Triangle
l_e = 2*sqrt(3)*r_i
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.
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

l_e = 2*sqrt(3)*r_i --> 2*sqrt(3)*2

Evaluating ... ...

l_e = 6.92820323027551

STEP 3: Convert Result to Output's Unit

6.92820323027551 Meter --> No Conversion Required

FINAL ANSWER

6.92820323027551 ≈ 6.928203 Meter <-- Edge Length of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< 9 Edge Length of Equilateral Triangle Calculators

Edge Length of Equilateral Triangle given Area

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

Edge Length of Equilateral Triangle given Length of Angle Bisector

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

Edge Length of Equilateral Triangle given Exradius

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

Edge Length of Equilateral Triangle given Circumradius

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

Edge Length of Equilateral Triangle given Inradius

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

Edge Length of Equilateral Triangle given Height

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

Edge Length of Equilateral Triangle given Median

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

Edge Length of Equilateral Triangle given Semiperimeter

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

Edge Length of Equilateral Triangle given Perimeter

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

Edge Length of Equilateral Triangle given Inradius Formula

Edge Length of Equilateral Triangle = 2*sqrt(3)*Inradius of Equilateral Triangle
l_e = 2*sqrt(3)*r_i

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 Inradius?

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

How to calculate Edge Length of Equilateral Triangle given Inradius using this online calculator? To use this online calculator for Edge Length of Equilateral Triangle given Inradius, enter Inradius of Equilateral Triangle (r_i) and hit the calculate button. Here is how the Edge Length of Equilateral Triangle given Inradius calculation can be explained with given input values -> 6.928203 = 2*sqrt(3)*2.

FAQ

What is Edge Length of Equilateral Triangle given Inradius?

The Edge Length of Equilateral Triangle given Inradius formula is defined as the length of the side of the Equilateral triangle, calculated using the inradius and is represented as l_e = 2*sqrt(3)*r_i or Edge Length of Equilateral Triangle = 2*sqrt(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 Edge Length of Equilateral Triangle given Inradius?

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

In this formula, Edge Length of Equilateral Triangle uses Inradius of Equilateral Triangle. We can use 8 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)
Edge Length of Equilateral Triangle = Perimeter of Equilateral Triangle/3
Edge Length of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/3
Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3))
Edge Length of Equilateral Triangle = (2*Median of Equilateral Triangle)/sqrt(3)
Edge Length of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))

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