Inradius 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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✖The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.ⓘ Inradius of Equilateral Triangle given Length of Angle Bisector [r_i]

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Inradius of Equilateral Triangle given Length of Angle Bisector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle
r_i = 1/3*l_{Angle Bisector}
This formula uses 2 Variables

Variables Used

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.
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_i = 1/3*l_{Angle Bisector} --> 1/3*7

Evaluating ... ...

r_i = 2.33333333333333

STEP 3: Convert Result to Output's Unit

2.33333333333333 Meter --> No Conversion Required

FINAL ANSWER

2.33333333333333 ≈ 2.333333 Meter <-- Inradius of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< Inradius of Equilateral Triangle Calculators

Inradius of Equilateral Triangle given Area

LaTeX Go Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))

Inradius of Equilateral Triangle

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

Inradius of Equilateral Triangle given Perimeter

LaTeX Go Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))

Inradius of Equilateral Triangle given Height

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

Inradius of Equilateral Triangle given Length of Angle Bisector Formula

LaTeX Go

Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle
r_i = 1/3*l_{Angle Bisector}

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 Inradius of Equilateral Triangle given Length of Angle Bisector?

Inradius of Equilateral Triangle given Length of Angle Bisector calculator uses Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle to calculate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Length of Angle Bisector formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all three sides of Equilateral Triangle, calculated using the length of angle bisector. Inradius of Equilateral Triangle is denoted by r_i symbol.

How to calculate Inradius of Equilateral Triangle given Length of Angle Bisector using this online calculator? To use this online calculator for Inradius 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 Inradius of Equilateral Triangle given Length of Angle Bisector calculation can be explained with given input values -> 2.333333 = 1/3*7.

FAQ

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

The Inradius of Equilateral Triangle given Length of Angle Bisector formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all three sides of Equilateral Triangle, calculated using the length of angle bisector and is represented as r_i = 1/3*l_{Angle Bisector} or Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle. 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 Inradius of Equilateral Triangle given Length of Angle Bisector?

The Inradius of Equilateral Triangle given Length of Angle Bisector formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all three sides of Equilateral Triangle, calculated using the length of angle bisector is calculated using Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle. To calculate Inradius 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 Inradius of Equilateral Triangle?

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

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

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