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Length of Angle Bisector of Angle between Legs and Base Formula

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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. Check FAQs

l Angle Bisector = S Base \cdot \frac{\sqrt{S Legs \cdot (2 \cdot S Legs + S Base)}}{S Legs + S Base}

l_{Angle Bisector} - Length of Angle Bisector of Isosceles Triangle?S_Base - Base of Isosceles Triangle?S_Legs - Legs of Isosceles Triangle?

Length of Angle Bisector of Angle between Legs and Base Example

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Here is how the Length of Angle Bisector of Angle between Legs and Base equation looks like with Values.

Here is how the Length of Angle Bisector of Angle between Legs and Base equation looks like with Units.

Here is how the Length of Angle Bisector of Angle between Legs and Base equation looks like.

5.8788 = 6 \cdot \frac{\sqrt{9 \cdot (2 \cdot 9 + 6)}}{9 + 6}

5.8788m = 6m \cdot \frac{\sqrt{9m \cdot (2 \cdot 9m + 6m)}}{9m + 6m}

5.8788 = 6 \cdot \frac{\sqrt{9 \cdot (2 \cdot 9 + 6)}}{9 + 6}

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Length of Angle Bisector of Angle between Legs and Base Solution

Follow our step by step solution on how to calculate Length of Angle Bisector of Angle between Legs and Base?

FIRST Step Consider the formula

l Angle Bisector = S Base \cdot \frac{\sqrt{S Legs \cdot (2 \cdot S Legs + S Base)}}{S Legs + S Base}

Next Step Substitute values of Variables

∴

l Angle Bisector = 6m \cdot \frac{\sqrt{9m \cdot (2 \cdot 9m + 6m)}}{9m + 6m}

Next Step Prepare to Evaluate

∴

l Angle Bisector = 6 \cdot \frac{\sqrt{9 \cdot (2 \cdot 9 + 6)}}{9 + 6}

Next Step Evaluate

∴

l Angle Bisector = 5.87877538267963m

LAST Step Rounding Answer

∴

l Angle Bisector = 5.8788m

Length of Angle Bisector of Angle between Legs and Base Formula Elements

Variables

Functions

Length of Angle Bisector of Isosceles Triangle

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.

Symbol: l_{Angle Bisector}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Angle Bisector of Isosceles Triangle

Base of Isosceles Triangle

Base of Isosceles Triangle is the third and unequal side of the Isosceles Triangle.

Symbol: S_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base of Isosceles Triangle

Legs of Isosceles Triangle

The Legs of Isosceles Triangle are the two equal sides of the Isosceles Triangle.

Symbol: S_Legs

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Legs of Isosceles Triangle

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.

Syntax: sqrt(Number)

Other formulas in Angle of Isosceles Triangle category

Go Angles of Bisector of Isosceles Triangle at Vertex

∠ Bisector = \frac{∠ Vertex}{2}

Go Base Angles of Isosceles Triangle given Vertex Angle

∠ Base = \frac{π - ∠ Vertex}{2}

Go Base of Isosceles Triangle given Legs and Circumradius

S Base = \sqrt{4 \cdot {S Legs}^{2} - \frac{{S Legs}^{4}}{{r c}^{2}}}

Go Height of Isosceles Triangle from Vertex

h = \sqrt{{S Legs}^{2} - \frac{{S Base}^{2}}{4}}

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

Length of Angle Bisector of Angle between Legs and Base evaluator 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 evaluate 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 evaluate Length of Angle Bisector of Angle between Legs and Base using this online evaluator? To use this online evaluator 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.

FAQs on Length of Angle Bisector of Angle between Legs and Base

What is the formula to find Length of Angle Bisector of Angle between Legs and Base?

The formula of Length of Angle Bisector of Angle between Legs and Base is expressed as 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). Here is an example- 5.878775 = 6*sqrt(9*(2*9+6))/(9+6).

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

With Base of Isosceles Triangle (S_Base) & Legs of Isosceles Triangle (S_Legs) we can find Length of Angle Bisector of Angle between Legs and Base using the formula - 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). This formula also uses Square Root (sqrt) function(s).

Can the Length of Angle Bisector of Angle between Legs and Base be negative?

No, the Length of Angle Bisector of Angle between Legs and Base, measured in Length cannot be negative.

Which unit is used to measure Length of Angle Bisector of Angle between Legs and Base?

Length of Angle Bisector of Angle between Legs and Base is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Angle Bisector of Angle between Legs and Base can be measured.

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Length of Angle Bisector of Angle between Legs and Base Formula

Length of Angle Bisector of Angle between Legs and Base Example

Length of Angle Bisector of Angle between Legs and Base Solution

Length of Angle Bisector of Angle between Legs and Base Formula Elements

Other formulas in Angle of Isosceles Triangle category

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

FAQs on Length of Angle Bisector of Angle between Legs and Base

Variable Name