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Height of Equilateral Triangle given Area Formula

GoHeight of Equilateral Triangle Formula

GoHeight of Equilateral Triangle given Circumradius 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 \sqrt{\frac{4 \cdot A}{\sqrt{3}}}

h - Height of Equilateral Triangle?A - Area of Equilateral Triangle?

Height of Equilateral Triangle given Area Example

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

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

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

7.2084 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30}{\sqrt{3}}}

7.2084m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30m²}{\sqrt{3}}}

7.2084 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30}{\sqrt{3}}}

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Height of Equilateral Triangle given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

h = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{4 \cdot 30}{\sqrt{3}}}

Next Step Evaluate

∴

h = 7.20843424240426m

LAST Step Rounding Answer

∴

h = 7.2084m

Height of Equilateral Triangle given Area 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

Area of Equilateral Triangle

The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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

Go Height of Equilateral Triangle given Circumradius

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

Go Height of Equilateral Triangle given Inradius

h = 3 \cdot r i

Go Height of Equilateral Triangle given Perimeter

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

How to Evaluate Height of Equilateral Triangle given Area?

Height of Equilateral Triangle given Area evaluator uses Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3)) to evaluate the Height of Equilateral Triangle, The Height of Equilateral Triangle given Area formula is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side, calculated using area. Height of Equilateral Triangle is denoted by h symbol.

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

FAQs on Height of Equilateral Triangle given Area

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

The formula of Height of Equilateral Triangle given Area is expressed as Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3)). Here is an example- 7.208434 = sqrt(3)/2*sqrt((4*30)/sqrt(3)).

How to calculate Height of Equilateral Triangle given Area?

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

Can the Height of Equilateral Triangle given Area be negative?

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

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

Height of Equilateral Triangle given Area 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 Area can be measured.

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