Length of Angle Bisector of Equilateral Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Angle Bisector of Equilateral Triangle = 3*Inradius of Equilateral Triangle
lAngle Bisector = 3*ri
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.
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
lAngle Bisector = 3*ri --> 3*2
Evaluating ... ...
lAngle Bisector = 6
STEP 3: Convert Result to Output's Unit
6 Meter --> No Conversion Required
FINAL ANSWER
6 Meter <-- Length of Angle Bisector of Equilateral Triangle
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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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 Inradius Formula

​LaTeX ​Go
Length of Angle Bisector of Equilateral Triangle = 3*Inradius of Equilateral Triangle
lAngle Bisector = 3*ri

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 Inradius?

Length of Angle Bisector of Equilateral Triangle given Inradius calculator uses Length of Angle Bisector of Equilateral Triangle = 3*Inradius of Equilateral Triangle to calculate the Length of Angle Bisector of Equilateral Triangle, The Length of Angle Bisector of Equilateral Triangle given Inradius 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 inradius. Length of Angle Bisector of Equilateral Triangle is denoted by lAngle Bisector symbol.

How to calculate Length of Angle Bisector of Equilateral Triangle given Inradius using this online calculator? To use this online calculator for Length of Angle Bisector of Equilateral Triangle given Inradius, enter Inradius of Equilateral Triangle (ri) and hit the calculate button. Here is how the Length of Angle Bisector of Equilateral Triangle given Inradius calculation can be explained with given input values -> 6 = 3*2.

FAQ

What is Length of Angle Bisector of Equilateral Triangle given Inradius?
The Length of Angle Bisector of Equilateral Triangle given Inradius 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 inradius and is represented as lAngle Bisector = 3*ri or Length of Angle Bisector of Equilateral Triangle = 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 Length of Angle Bisector of Equilateral Triangle given Inradius?
The Length of Angle Bisector of Equilateral Triangle given Inradius 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 inradius is calculated using Length of Angle Bisector of Equilateral Triangle = 3*Inradius of Equilateral Triangle. To calculate Length of Angle Bisector of Equilateral Triangle given Inradius, you need Inradius of Equilateral Triangle (ri). 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 Length of Angle Bisector of Equilateral Triangle?
In this formula, Length of Angle Bisector of Equilateral Triangle uses Inradius 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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