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Inradius of Equilateral Triangle given Length of Angle Bisector Formula

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GoInradius of Equilateral Triangle given Height Formula

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The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle. Check FAQs

r i = \frac{1}{3} \cdot l Angle Bisector

r_i - Inradius of Equilateral Triangle?l_{Angle Bisector} - Length of Angle Bisector of Equilateral Triangle?

Inradius of Equilateral Triangle given Length of Angle Bisector Example

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Here is how the Inradius of Equilateral Triangle given Length of Angle Bisector equation looks like with Values.

Here is how the Inradius of Equilateral Triangle given Length of Angle Bisector equation looks like with Units.

Here is how the Inradius of Equilateral Triangle given Length of Angle Bisector equation looks like.

2.3333 = \frac{1}{3} \cdot 7

2.3333m = \frac{1}{3} \cdot 7m

2.3333 = \frac{1}{3} \cdot 7

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Inradius of Equilateral Triangle given Length of Angle Bisector Solution

Follow our step by step solution on how to calculate Inradius of Equilateral Triangle given Length of Angle Bisector?

FIRST Step Consider the formula

r i = \frac{1}{3} \cdot l Angle Bisector

Next Step Substitute values of Variables

∴

r i = \frac{1}{3} \cdot 7m

Next Step Prepare to Evaluate

∴

r i = \frac{1}{3} \cdot 7

Next Step Evaluate

∴

r i = 2.33333333333333m

LAST Step Rounding Answer

∴

r i = 2.3333m

Inradius of Equilateral Triangle given Length of Angle Bisector Formula Elements

Variables

Inradius of Equilateral Triangle

The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Equilateral Triangle

Length of Angle Bisector of Equilateral Triangle

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.

Symbol: l_{Angle Bisector}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Angle Bisector of Equilateral Triangle

Other Formulas to find Inradius of Equilateral Triangle

Go Inradius of Equilateral Triangle

r i = \frac{l e}{2 \cdot \sqrt{3}}

Go Inradius of Equilateral Triangle given Height

r i = \frac{h}{3}

Go Inradius of Equilateral Triangle given Area

r i = \sqrt{\frac{A}{3 \cdot \sqrt{3}}}

Go Inradius of Equilateral Triangle given Perimeter

r i = \frac{P}{6 \cdot \sqrt{3}}

How to Evaluate Inradius of Equilateral Triangle given Length of Angle Bisector?

Inradius of Equilateral Triangle given Length of Angle Bisector evaluator uses Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle to evaluate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Length of Angle Bisector formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all three sides of Equilateral Triangle, calculated using the length of angle bisector. Inradius of Equilateral Triangle is denoted by r_i symbol.

How to evaluate Inradius of Equilateral Triangle given Length of Angle Bisector using this online evaluator? To use this online evaluator for Inradius of Equilateral Triangle given Length of Angle Bisector, enter Length of Angle Bisector of Equilateral Triangle (l_{Angle Bisector}) and hit the calculate button.

FAQs on Inradius of Equilateral Triangle given Length of Angle Bisector

What is the formula to find Inradius of Equilateral Triangle given Length of Angle Bisector?

The formula of Inradius of Equilateral Triangle given Length of Angle Bisector is expressed as Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle. Here is an example- 2.333333 = 1/3*7.

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

With Length of Angle Bisector of Equilateral Triangle (l_{Angle Bisector}) we can find Inradius of Equilateral Triangle given Length of Angle Bisector using the formula - Inradius of Equilateral Triangle = 1/3*Length of Angle Bisector of Equilateral Triangle.

What are the other ways to Calculate Inradius of Equilateral Triangle?

Here are the different ways to Calculate Inradius of Equilateral Triangle-

Inradius of Equilateral Triangle=Edge Length of Equilateral Triangle/(2*sqrt(3))
Inradius of Equilateral Triangle=Height of Equilateral Triangle/3
Inradius of Equilateral Triangle=sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))

Can the Inradius of Equilateral Triangle given Length of Angle Bisector be negative?

No, the Inradius of Equilateral Triangle given Length of Angle Bisector, measured in Length cannot be negative.

Which unit is used to measure Inradius of Equilateral Triangle given Length of Angle Bisector?

Inradius of Equilateral Triangle given Length of Angle Bisector is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Equilateral Triangle given Length of Angle Bisector can be measured.

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