Length of Angle Bisector of Angle between Legs and Base Calculator

✖Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.ⓘ Base of Isosceles Triangle [S_Base]			+10% -10%
✖The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.ⓘ Legs of Isosceles Triangle [S_Legs]			+10% -10%

✖Length of Angle Bisector of Isosceles Triangle is the measure of the length of the line which bisects the Isosceles Triangle, at the apex angle, into two congruent triangles.ⓘ Length of Angle Bisector of Angle between Legs and Base [l_{Angle Bisector}]

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Formula

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Length of Angle Bisector of Angle between Legs and Base

Formula

`"l"_{"Angle Bisector"} = "S"_{"Base"}*sqrt("S"_{"Legs"}*(2*"S"_{"Legs"}+"S"_{"Base"}))/("S"_{"Legs"}+"S"_{"Base"})`

Example

`"5.878775m"="6m"*sqrt("9m"*(2*"9m"+"6m"))/("9m"+"6m")`

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Length of Angle Bisector of Angle between Legs and Base Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Angle Bisector of Isosceles Triangle = Base of Isosceles Triangle*sqrt(Legs of Isosceles Triangle*(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))/(Legs of Isosceles Triangle+Base of Isosceles Triangle)
l_{Angle Bisector} = S_Base*sqrt(S_Legs*(2*S_Legs+S_Base))/(S_Legs+S_Base)
This formula uses 1 Functions, 3 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 Isosceles Triangle - (Measured in Meter) - Length of Angle Bisector of Isosceles Triangle is the measure of the length of the line which bisects the Isosceles Triangle, at the apex angle, into two congruent triangles.
Base of Isosceles Triangle - (Measured in Meter) - Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.
Legs of Isosceles Triangle - (Measured in Meter) - The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.

STEP 1: Convert Input(s) to Base Unit

Base of Isosceles Triangle: 6 Meter --> 6 Meter No Conversion Required
Legs of Isosceles Triangle: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{Angle Bisector} = S_Base*sqrt(S_Legs*(2*S_Legs+S_Base))/(S_Legs+S_Base) --> 6*sqrt(9*(2*9+6))/(9+6)

Evaluating ... ...

l_{Angle Bisector} = 5.87877538267963

STEP 3: Convert Result to Output's Unit

5.87877538267963 Meter --> No Conversion Required

FINAL ANSWER

5.87877538267963 ≈ 5.878775 Meter <-- Length of Angle Bisector of Isosceles Triangle

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Isosceles Triangle » Angle of Isosceles Triangle » Length of Angle Bisector of Angle between Legs and Base

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Birla Institute of Technology & Science (BITS), Hyderabad

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< 4 Angle of Isosceles Triangle Calculators

Length of Angle Bisector of Angle between Legs and Base

Go Length of Angle Bisector of Isosceles Triangle = Base of Isosceles Triangle*sqrt(Legs of Isosceles Triangle*(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))/(Legs of Isosceles Triangle+Base of Isosceles Triangle)

Base Angles of Isosceles Triangle given Vertex Angle

Go Base Angles of Isosceles Triangle = (pi-Vertex Angle of Isosceles Triangle)/2

Vertex Angle of Isosceles Triangle given Base Angles

Go Vertex Angle of Isosceles Triangle = pi-2*Base Angles of Isosceles Triangle

Angles of Bisector of Isosceles Triangle at Vertex

Go Angles of Bisector of Isosceles Triangle = Vertex Angle of Isosceles Triangle/2

< 6 Other Formulas of Isosceles Triangle Calculators

Length of Angle Bisector of Angle between Legs and Base

Base of Isosceles Triangle given Legs and Circumradius

Go Base of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Legs of Isosceles Triangle^4/Circumradius of Isosceles Triangle^2)

Median of Isosceles Triangle from Vertex

Go Median of Isosceles Triangle = sqrt(4*Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2)/2

Height of Isosceles Triangle from Vertex

Go Height of Isosceles Triangle = sqrt(Legs of Isosceles Triangle^2-Base of Isosceles Triangle^2/4)

Base Angles of Isosceles Triangle given Vertex Angle

Go Base Angles of Isosceles Triangle = (pi-Vertex Angle of Isosceles Triangle)/2

Angles of Bisector of Isosceles Triangle at Vertex

Go Angles of Bisector of Isosceles Triangle = Vertex Angle of Isosceles Triangle/2

Length of Angle Bisector of Angle between Legs and Base Formula

What is an Isosceles Triangle?

An Isosceles Triangle is a triangle with two sides of equal length, which are called legs. The third side of the triangle is called the base. Vertex angle is the angle between the legs and the angles with the base as one of their sides are called the base angles.

What is an angle bisector ?

The (interior) bisector of an angle, also called the internal angle bisector, is the line or line segment that divides the angle into two equal parts.

How to Calculate Length of Angle Bisector of Angle between Legs and Base?

Length of Angle Bisector of Angle between Legs and Base calculator uses Length of Angle Bisector of Isosceles Triangle = Base of Isosceles Triangle*sqrt(Legs of Isosceles Triangle*(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))/(Legs of Isosceles Triangle+Base of Isosceles Triangle) to calculate the Length of Angle Bisector of Isosceles Triangle, Length of Angle Bisector of Angle between Legs and Base formula is defined as the length of a line or ray that divides an angle between legs and base into two congruent angles. Length of Angle Bisector of Isosceles Triangle is denoted by l_{Angle Bisector} symbol.

How to calculate Length of Angle Bisector of Angle between Legs and Base using this online calculator? To use this online calculator for Length of Angle Bisector of Angle between Legs and Base, enter Base of Isosceles Triangle (S_Base) & Legs of Isosceles Triangle (S_Legs) and hit the calculate button. Here is how the Length of Angle Bisector of Angle between Legs and Base calculation can be explained with given input values -> 5.878775 = 6*sqrt(9*(2*9+6))/(9+6).

FAQ

What is Length of Angle Bisector of Angle between Legs and Base?

Length of Angle Bisector of Angle between Legs and Base formula is defined as the length of a line or ray that divides an angle between legs and base into two congruent angles and is represented as l_{Angle Bisector} = S_Base*sqrt(S_Legs*(2*S_Legs+S_Base))/(S_Legs+S_Base) or Length of Angle Bisector of Isosceles Triangle = Base of Isosceles Triangle*sqrt(Legs of Isosceles Triangle*(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))/(Legs of Isosceles Triangle+Base of Isosceles Triangle). Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle & The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.

How to calculate Length of Angle Bisector of Angle between Legs and Base?

Length of Angle Bisector of Angle between Legs and Base formula is defined as the length of a line or ray that divides an angle between legs and base into two congruent angles is calculated using Length of Angle Bisector of Isosceles Triangle = Base of Isosceles Triangle*sqrt(Legs of Isosceles Triangle*(2*Legs of Isosceles Triangle+Base of Isosceles Triangle))/(Legs of Isosceles Triangle+Base of Isosceles Triangle). To calculate Length of Angle Bisector of Angle between Legs and Base, you need Base of Isosceles Triangle (S_Base) & Legs of Isosceles Triangle (S_Legs). With our tool, you need to enter the respective value for Base of Isosceles Triangle & Legs of Isosceles Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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