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Edge Length of Equilateral Triangle given Exradius Formula

GoEdge Length of Equilateral Triangle given Circumradius Formula

GoEdge Length of Equilateral Triangle given Height Formula

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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. Check FAQs

l e = \frac{2 \cdot r e}{\sqrt{3}}

l_e - Edge Length of Equilateral Triangle?r_e - Exradius of Equilateral Triangle?

Edge Length of Equilateral Triangle given Exradius Example

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Here is how the Edge Length of Equilateral Triangle given Exradius equation looks like with Values.

Here is how the Edge Length of Equilateral Triangle given Exradius equation looks like with Units.

Here is how the Edge Length of Equilateral Triangle given Exradius equation looks like.

8.0829 = \frac{2 \cdot 7}{\sqrt{3}}

8.0829m = \frac{2 \cdot 7m}{\sqrt{3}}

8.0829 = \frac{2 \cdot 7}{\sqrt{3}}

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Edge Length of Equilateral Triangle given Exradius Solution

Follow our step by step solution on how to calculate Edge Length of Equilateral Triangle given Exradius?

FIRST Step Consider the formula

l e = \frac{2 \cdot r e}{\sqrt{3}}

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 7m}{\sqrt{3}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 7}{\sqrt{3}}

Next Step Evaluate

∴

l e = 8.08290376865476m

LAST Step Rounding Answer

∴

l e = 8.0829m

Edge Length of Equilateral Triangle given Exradius Formula Elements

Variables

Functions

Edge Length of Equilateral Triangle

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.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Equilateral Triangle

Exradius of Equilateral Triangle

Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.

Symbol: r_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Exradius of Equilateral Triangle

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.

Syntax: sqrt(Number)

Other Formulas to find Edge Length of Equilateral Triangle

Go Edge Length of Equilateral Triangle given Circumradius

l e = \sqrt{3} \cdot r c

Go Edge Length of Equilateral Triangle given Height

l e = \frac{2 \cdot h}{\sqrt{3}}

Go Edge Length of Equilateral Triangle given Length of Angle Bisector

l e = \frac{2 \cdot l Angle Bisector}{\sqrt{3}}

Go Edge Length of Equilateral Triangle given Perimeter

l e = \frac{P}{3}

How to Evaluate Edge Length of Equilateral Triangle given Exradius?

Edge Length of Equilateral Triangle given Exradius evaluator uses Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3)) to evaluate 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 evaluate Edge Length of Equilateral Triangle given Exradius using this online evaluator? To use this online evaluator for Edge Length of Equilateral Triangle given Exradius, enter Exradius of Equilateral Triangle (r_e) and hit the calculate button.

FAQs on Edge Length of Equilateral Triangle given Exradius

What is the formula to find Edge Length of Equilateral Triangle given Exradius?

The formula of Edge Length of Equilateral Triangle given Exradius is expressed as Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3)). Here is an example- 8.082904 = (2*7)/(sqrt(3)).

How to calculate Edge Length of Equilateral Triangle given Exradius?

With Exradius of Equilateral Triangle (r_e) we can find Edge Length of Equilateral Triangle given Exradius using the formula - Edge Length of Equilateral Triangle = (2*Exradius of Equilateral Triangle)/(sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Equilateral Triangle?

Here are the different ways to Calculate Edge Length of Equilateral Triangle-

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)

Can the Edge Length of Equilateral Triangle given Exradius be negative?

No, the Edge Length of Equilateral Triangle given Exradius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Equilateral Triangle given Exradius?

Edge Length of Equilateral Triangle given Exradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Equilateral Triangle given Exradius can be measured.

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