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Height 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{\sqrt{3}}{2} \cdot l e

h - Height of Equilateral Triangle?l_e - Edge Length of Equilateral Triangle?

Height of Equilateral Triangle Example

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

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

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

6.9282 = \frac{\sqrt{3}}{2} \cdot 8

6.9282m = \frac{\sqrt{3}}{2} \cdot 8m

6.9282 = \frac{\sqrt{3}}{2} \cdot 8

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Height of Equilateral Triangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{\sqrt{3}}{2} \cdot 8m

Next Step Prepare to Evaluate

∴

h = \frac{\sqrt{3}}{2} \cdot 8

Next Step Evaluate

∴

h = 6.92820323027551m

LAST Step Rounding Answer

∴

h = 6.9282m

Height of Equilateral Triangle Formula Elements

Variables

Functions

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

Edge Length of Equilateral Triangle

The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Equilateral 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 to find Height of Equilateral Triangle

Go Height of Equilateral Triangle given Inradius

h = 3 \cdot r i

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?

Height of Equilateral Triangle evaluator uses Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle to evaluate the Height of Equilateral Triangle, Height of Equilateral Triangle is the length of the perpendicular drawn from the vertex of the triangle to the opposite side. Height of Equilateral Triangle is denoted by h symbol.

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

FAQs on Height of Equilateral Triangle

What is the formula to find Height of Equilateral Triangle?

The formula of Height of Equilateral Triangle is expressed as Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle. Here is an example- 6.928203 = sqrt(3)/2*8.

How to calculate Height of Equilateral Triangle?

With Edge Length of Equilateral Triangle (l_e) we can find Height of Equilateral Triangle using the formula - Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle. This formula also uses Square Root (sqrt) function(s).

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=3*Inradius of Equilateral Triangle

Can the Height of Equilateral Triangle be negative?

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

Which unit is used to measure Height of Equilateral Triangle?

Height of Equilateral Triangle 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 can be measured.

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