Length of Angle Bisector of Equilateral Triangle given Circumradius Calculator

✖The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.ⓘ Circumradius of Equilateral Triangle [r_c]

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✖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 given Circumradius [l_{Angle Bisector}]

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Length of Angle Bisector of Equilateral Triangle given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Angle Bisector of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
l_{Angle Bisector} = 3/2*r_c
This formula uses 2 Variables

Variables Used

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.
Circumradius of Equilateral Triangle - (Measured in Meter) - The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Equilateral Triangle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{Angle Bisector} = 3/2*r_c --> 3/2*5

Evaluating ... ...

l_{Angle Bisector} = 7.5

STEP 3: Convert Result to Output's Unit

7.5 Meter --> No Conversion Required

FINAL ANSWER

7.5 Meter <-- Length of Angle Bisector of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< Length of Angle Bisector of Equilateral Triangle Calculators

Length of Angle Bisector of Equilateral Triangle given Area

LaTeX Go Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

Length of Angle Bisector of Equilateral Triangle

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

Length of Angle Bisector of Equilateral Triangle given Median

LaTeX Go Length of Angle Bisector of Equilateral Triangle = Median of Equilateral Triangle/1

Length of Angle Bisector of Equilateral Triangle given Height

LaTeX Go Length of Angle Bisector of Equilateral Triangle = Height of Equilateral Triangle/1

Length of Angle Bisector of Equilateral Triangle given Circumradius Formula

LaTeX Go

Length of Angle Bisector of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
l_{Angle Bisector} = 3/2*r_c

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 an angle bisector and how it is calculated for an Equilateral triangle ?

The angle bisector of an equilateral triangle or bisector of an angle is a line that divides an angle into two equal parts. Every angle has an angle bisector. An equilateral triangle is a triangle with a length of all three sides of the triangle equal and all angle measures 60 degrees In an equilateral triangle, it is calculated by the formula A = √3a / 2 where A is the angle bisector of any angle of an equilateral triangle and a is the length of the side of the equilateral triangle.

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

Length of Angle Bisector of Equilateral Triangle given Circumradius calculator uses Length of Angle Bisector of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle to calculate the Length of Angle Bisector of Equilateral Triangle, The Length of Angle Bisector of Equilateral Triangle given Circumradius formula is defined as the length of the line drawn from vertex to the opposite side that divides the vertex angle of equilateral triangle into two equal parts, calculated using the circumradius. Length of Angle Bisector of Equilateral Triangle is denoted by l_{Angle Bisector} symbol.

How to calculate Length of Angle Bisector of Equilateral Triangle given Circumradius using this online calculator? To use this online calculator for Length of Angle Bisector of Equilateral Triangle given Circumradius, enter Circumradius of Equilateral Triangle (r_c) and hit the calculate button. Here is how the Length of Angle Bisector of Equilateral Triangle given Circumradius calculation can be explained with given input values -> 7.5 = 3/2*5.

FAQ

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

The Length of Angle Bisector of Equilateral Triangle given Circumradius formula is defined as the length of the line drawn from vertex to the opposite side that divides the vertex angle of equilateral triangle into two equal parts, calculated using the circumradius and is represented as l_{Angle Bisector} = 3/2*r_c or Length of Angle Bisector of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle. The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

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

The Length of Angle Bisector of Equilateral Triangle given Circumradius formula is defined as the length of the line drawn from vertex to the opposite side that divides the vertex angle of equilateral triangle into two equal parts, calculated using the circumradius is calculated using Length of Angle Bisector of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle. To calculate Length of Angle Bisector of Equilateral Triangle given Circumradius, you need Circumradius of Equilateral Triangle (r_c). With our tool, you need to enter the respective value for Circumradius 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 Length of Angle Bisector of Equilateral Triangle?

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

Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Length of Angle Bisector of Equilateral Triangle = Median of Equilateral Triangle/1
Length of Angle Bisector of Equilateral Triangle = Height of Equilateral Triangle/1

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