Exradius of Equilateral Triangle given Length of Angle Bisector Calculator

✖Length of Angle Bisector of Equilateral Triangle is the length of the straight line from the vertex to its opposite side dividing the vertex angle into two equal parts.ⓘ Length of Angle Bisector of Equilateral Triangle [l_{Angle Bisector}]

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

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Formula

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Exradius of Equilateral Triangle given Length of Angle Bisector

Formula

`"r"_{"e"} = "l"_{"Angle Bisector"}/1 `

Example

`"7m"="7m"/1 `

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Exradius of Equilateral Triangle given Length of Angle Bisector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1
r_e = l_{Angle Bisector}/1
This formula uses 2 Variables

Variables Used

Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.
Length of Angle Bisector of Equilateral Triangle - (Measured in Meter) - Length of Angle Bisector of Equilateral Triangle is the length of the straight line from the vertex to its opposite side dividing the vertex angle into two equal parts.

STEP 1: Convert Input(s) to Base Unit

Length of Angle Bisector of Equilateral Triangle: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_e = l_{Angle Bisector}/1 --> 7/1

Evaluating ... ...

r_e = 7

STEP 3: Convert Result to Output's Unit

7 Meter --> No Conversion Required

FINAL ANSWER

7 Meter <-- Exradius of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Created by Bhavya Mutyala

Osmania University (OU), Hyderabad

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< 9 Exradius of Equilateral Triangle Calculators

Exradius of Equilateral Triangle given Area

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

Exradius of Equilateral Triangle given Semiperimeter

Go Exradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))

Exradius of Equilateral Triangle given Perimeter

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

Exradius of Equilateral Triangle

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

Exradius of Equilateral Triangle given Length of Angle Bisector

Go Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1

Exradius of Equilateral Triangle given Circumradius

Go Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle

Exradius of Equilateral Triangle given Inradius

Go Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Exradius of Equilateral Triangle given Height

Go Exradius of Equilateral Triangle = Height of Equilateral Triangle/1

Exradius of Equilateral Triangle given Median

Go Exradius of Equilateral Triangle = Median of Equilateral Triangle/1

Exradius of Equilateral Triangle given Length of Angle Bisector Formula

Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1
r_e = l_{Angle Bisector}/1

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°.

What is Exradius of an Equilateral Triangle?

An Excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct excircles, each tangent to one of the triangle's sides. For an equilateral triangle, all 3 ex radii will be equal.

How to Calculate Exradius of Equilateral Triangle given Length of Angle Bisector?

Exradius of Equilateral Triangle given Length of Angle Bisector calculator uses Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1 to calculate the Exradius of Equilateral Triangle, The Exradius of Equilateral Triangle given Length of Angle Bisector formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using the length of the angle bisector. Exradius of Equilateral Triangle is denoted by r_e symbol.

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

FAQ

What is Exradius of Equilateral Triangle given Length of Angle Bisector?

The Exradius of Equilateral Triangle given Length of Angle Bisector formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using the length of the angle bisector and is represented as r_e = l_{Angle Bisector}/1 or Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1. Length of Angle Bisector of Equilateral Triangle is the length of the straight line from the vertex to its opposite side dividing the vertex angle into two equal parts.

How to calculate Exradius of Equilateral Triangle given Length of Angle Bisector?

The Exradius of Equilateral Triangle given Length of Angle Bisector formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using the length of the angle bisector is calculated using Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1. To calculate Exradius of Equilateral Triangle given Length of Angle Bisector, you need Length of Angle Bisector of Equilateral Triangle (l_{Angle Bisector}). With our tool, you need to enter the respective value for Length of Angle Bisector 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 Exradius of Equilateral Triangle?

In this formula, Exradius of Equilateral Triangle uses Length of Angle Bisector of Equilateral Triangle. We can use 8 other way(s) to calculate the same, which is/are as follows -

Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
Exradius of Equilateral Triangle = Height of Equilateral Triangle/1
Exradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle
Exradius of Equilateral Triangle = Median of Equilateral Triangle/1
Exradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))

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