Length of Angle Bisector of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
lAngle Bisector = sqrt(3)/2*le
This formula uses 1 Functions, 2 Variables
Functions Used
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., sqrt(Number)
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.
Edge Length of Equilateral Triangle - (Measured in Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Equilateral Triangle: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lAngle Bisector = sqrt(3)/2*le --> sqrt(3)/2*8
Evaluating ... ...
lAngle Bisector = 6.92820323027551
STEP 3: Convert Result to Output's Unit
6.92820323027551 Meter --> No Conversion Required
FINAL ANSWER
6.92820323027551 6.928203 Meter <-- Length of Angle Bisector of Equilateral Triangle
(Calculation completed in 00.004 seconds)

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9 Length of Angle Bisector of Equilateral Triangle Calculators

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

13 Important Formulas of Equilateral Triangle Calculators

Length of Angle Bisector of Equilateral Triangle
Go Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Semiperimeter of Equilateral Triangle given Circumradius
Go Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle
Edge Length of Equilateral Triangle given Circumradius
Go Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
Circumradius of Equilateral Triangle
Go Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3)
Inradius of Equilateral Triangle
Go Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))
Edge Length of Equilateral Triangle given Height
Go Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)
Exradius of Equilateral Triangle
Go Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Median of Equilateral Triangle
Go Median of Equilateral Triangle = (sqrt(3)*Edge Length of Equilateral Triangle)/2
Height of Equilateral Triangle
Go Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Area of Equilateral Triangle
Go Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2
Semiperimeter of Equilateral Triangle
Go Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2
Perimeter of Equilateral Triangle
Go Perimeter of Equilateral Triangle = 3*Edge Length of Equilateral Triangle
Height of Equilateral Triangle given Inradius
Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Length of Angle Bisector of Equilateral Triangle Formula

Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
lAngle Bisector = sqrt(3)/2*le

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?

Length of Angle Bisector of Equilateral Triangle calculator uses Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle to calculate the Length of Angle Bisector of Equilateral Triangle, Length of Angle Bisector of Equilateral Triangle or bisector of an angle is the length of the line drawn from the vertex to the opposite side that divides the vertex angle into two equal parts. Every angle has an angle bisector. Length of Angle Bisector of Equilateral Triangle is denoted by lAngle Bisector symbol.

How to calculate Length of Angle Bisector of Equilateral Triangle using this online calculator? To use this online calculator for Length of Angle Bisector of Equilateral Triangle, enter Edge Length of Equilateral Triangle (le) and hit the calculate button. Here is how the Length of Angle Bisector of Equilateral Triangle calculation can be explained with given input values -> 6.928203 = sqrt(3)/2*8.

FAQ

What is Length of Angle Bisector of Equilateral Triangle?
Length of Angle Bisector of Equilateral Triangle or bisector of an angle is the length of the line drawn from the vertex to the opposite side that divides the vertex angle into two equal parts. Every angle has an angle bisector and is represented as lAngle Bisector = sqrt(3)/2*le or Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*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.
How to calculate Length of Angle Bisector of Equilateral Triangle?
Length of Angle Bisector of Equilateral Triangle or bisector of an angle is the length of the line drawn from the vertex to the opposite side that divides the vertex angle into two equal parts. Every angle has an angle bisector is calculated using Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle. To calculate Length of Angle Bisector of Equilateral Triangle, you need Edge Length of Equilateral Triangle (le). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Equilateral Triangle. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Length of Angle Bisector of Equilateral Triangle = Median of Equilateral Triangle/1
  • Length of Angle Bisector of Equilateral Triangle = Height of Equilateral Triangle/1
  • 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 = Perimeter of Equilateral Triangle/(2*sqrt(3))
  • Length of Angle Bisector of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
  • Length of Angle Bisector of Equilateral Triangle = 3*Inradius of Equilateral Triangle
  • Length of Angle Bisector of Equilateral Triangle = Exradius of Equilateral Triangle/1
  • Length of Angle Bisector of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))
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