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Inradius of Equilateral Triangle given Height Formula

GoInradius of Equilateral Triangle Formula

GoInradius of Equilateral Triangle given Area 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{h}{3}

r_i - Inradius of Equilateral Triangle?h - Height of Equilateral Triangle?

Inradius of Equilateral Triangle given Height Example

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Here is how the Inradius of Equilateral Triangle given Height equation looks like with Values.

Here is how the Inradius of Equilateral Triangle given Height equation looks like with Units.

Here is how the Inradius of Equilateral Triangle given Height equation looks like.

2.3333 = \frac{7}{3}

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

2.3333 = \frac{7}{3}

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Inradius of Equilateral Triangle given Height Solution

Follow our step by step solution on how to calculate Inradius of Equilateral Triangle given Height?

FIRST Step Consider the formula

r i = \frac{h}{3}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

r i = \frac{7}{3}

Next Step Evaluate

∴

r i = 2.33333333333333m

LAST Step Rounding Answer

∴

r i = 2.3333m

Inradius of Equilateral Triangle given Height 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

Height of Equilateral Triangle

The Height of Equilateral Triangle is a perpendicular line that is drawn from any vertex of the triangle on the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 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}}

Go Inradius of Equilateral Triangle given Circumradius

r i = \frac{1}{2} \cdot r c

How to Evaluate Inradius of Equilateral Triangle given Height?

Inradius of Equilateral Triangle given Height evaluator uses Inradius of Equilateral Triangle = Height of Equilateral Triangle/3 to evaluate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Height is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all three sides of it, calculated using height. Inradius of Equilateral Triangle is denoted by r_i symbol.

How to evaluate Inradius of Equilateral Triangle given Height using this online evaluator? To use this online evaluator for Inradius of Equilateral Triangle given Height, enter Height of Equilateral Triangle (h) and hit the calculate button.

FAQs on Inradius of Equilateral Triangle given Height

What is the formula to find Inradius of Equilateral Triangle given Height?

The formula of Inradius of Equilateral Triangle given Height is expressed as Inradius of Equilateral Triangle = Height of Equilateral Triangle/3. Here is an example- 2.333333 = 7/3.

How to calculate Inradius of Equilateral Triangle given Height?

With Height of Equilateral Triangle (h) we can find Inradius of Equilateral Triangle given Height using the formula - Inradius of Equilateral Triangle = Height of Equilateral Triangle/3.

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=sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))
Inradius of Equilateral Triangle=Perimeter of Equilateral Triangle/(6*sqrt(3))

Can the Inradius of Equilateral Triangle given Height be negative?

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

Which unit is used to measure Inradius of Equilateral Triangle given Height?

Inradius of Equilateral Triangle given Height 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 Height can be measured.

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