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Height of Equilateral Triangle given Circumradius Formula

GoHeight of Equilateral Triangle Formula

GoHeight of Equilateral Triangle given Inradius 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 = \frac{3}{2} \cdot r c

h - Height of Equilateral Triangle?r_c - Circumradius of Equilateral Triangle?

Height of Equilateral Triangle given Circumradius Example

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

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

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

7.5 = \frac{3}{2} \cdot 5

7.5m = \frac{3}{2} \cdot 5m

7.5 = \frac{3}{2} \cdot 5

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Height of Equilateral Triangle given Circumradius Solution

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

FIRST Step Consider the formula

h = \frac{3}{2} \cdot r c

Next Step Substitute values of Variables

∴

h = \frac{3}{2} \cdot 5m

Next Step Prepare to Evaluate

∴

h = \frac{3}{2} \cdot 5

LAST Step Evaluate

∴

h = 7.5m

Height of Equilateral Triangle given Circumradius 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

Circumradius of Equilateral Triangle

The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Equilateral Triangle

Other Formulas to find Height of Equilateral Triangle

Go Height of Equilateral Triangle

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

Go Height of Equilateral Triangle given Inradius

h = 3 \cdot r i

Go Height of Equilateral Triangle given Area

h = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot A}{\sqrt{3}}}

Go Height of Equilateral Triangle given Perimeter

h = \frac{P}{2 \cdot \sqrt{3}}

How to Evaluate Height of Equilateral Triangle given Circumradius?

Height of Equilateral Triangle given Circumradius evaluator uses Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle to evaluate the Height of Equilateral Triangle, The Height of Equilateral Triangle given Circumradius is defined as the length of the perpendicular drawn from the vertex to its opposite side, calculated using the circumradius of the circumcircle. Height of Equilateral Triangle is denoted by h symbol.

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

FAQs on Height of Equilateral Triangle given Circumradius

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

The formula of Height of Equilateral Triangle given Circumradius is expressed as Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle. Here is an example- 7.5 = 3/2*5.

How to calculate Height of Equilateral Triangle given Circumradius?

With Circumradius of Equilateral Triangle (r_c) we can find Height of Equilateral Triangle given Circumradius using the formula - Height of Equilateral Triangle = 3/2*Circumradius 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
Height of Equilateral Triangle=3*Inradius of Equilateral Triangle
Height of Equilateral Triangle=sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

Can the Height of Equilateral Triangle given Circumradius be negative?

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

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

Height of Equilateral Triangle given Circumradius 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 Circumradius can be measured.

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