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Height of Equilateral Triangle given Inradius Formula

GoHeight of Equilateral Triangle Formula

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

h = 3 \cdot r i

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

Height of Equilateral Triangle given Inradius Example

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

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

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

6 = 3 \cdot 2

6m = 3 \cdot 2m

6 = 3 \cdot 2

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Height of Equilateral Triangle given Inradius Solution

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

FIRST Step Consider the formula

h = 3 \cdot r i

Next Step Substitute values of Variables

∴

h = 3 \cdot 2m

Next Step Prepare to Evaluate

∴

h = 3 \cdot 2

LAST Step Evaluate

∴

h = 6m

Height of Equilateral Triangle given Inradius Formula Elements

Variables

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

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

Other Formulas to find Height of Equilateral Triangle

Go Height of Equilateral Triangle

h = \frac{\sqrt{3}}{2} \cdot l e

Other formulas in Height of Equilateral Triangle category

Go Area of Equilateral Triangle

A = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Circumradius of Equilateral Triangle

r c = \frac{l e}{\sqrt{3}}

Go Exradius of Equilateral Triangle

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

Go Inradius of Equilateral Triangle

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

How to Evaluate Height of Equilateral Triangle given Inradius?

Height of Equilateral Triangle given Inradius evaluator uses Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle to evaluate the Height of Equilateral Triangle, The Height of Equilateral Triangle given Inradius is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side., calculated using its inradius. Height of Equilateral Triangle is denoted by h symbol.

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

FAQs on Height of Equilateral Triangle given Inradius

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

The formula of Height of Equilateral Triangle given Inradius is expressed as Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle. Here is an example- 6 = 3*2.

How to calculate Height of Equilateral Triangle given Inradius?

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

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

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

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

Can the Height of Equilateral Triangle given Inradius be negative?

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

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

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

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