Height of Equilateral Triangle given Area Calculator

✖The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.ⓘ Area of Equilateral Triangle [A]

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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.ⓘ Height of Equilateral Triangle given Area [h]

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Height of Equilateral Triangle given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))
h = sqrt(3)/2*sqrt((4*A)/sqrt(3))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Height of Equilateral Triangle - (Measured in Meter) - The Height of Equilateral Triangle is a perpendicular line that is drawn from any vertex of the triangle on the opposite side.
Area of Equilateral Triangle - (Measured in Square Meter) - The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.

STEP 1: Convert Input(s) to Base Unit

Area of Equilateral Triangle: 30 Square Meter --> 30 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(3)/2*sqrt((4*A)/sqrt(3)) --> sqrt(3)/2*sqrt((4*30)/sqrt(3))

Evaluating ... ...

h = 7.20843424240426

STEP 3: Convert Result to Output's Unit

7.20843424240426 Meter --> No Conversion Required

FINAL ANSWER

7.20843424240426 ≈ 7.208434 Meter <-- Height of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Height of Equilateral Triangle Calculators

Height of Equilateral Triangle given Area

LaTeX Go Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

Height of Equilateral Triangle

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

Height of Equilateral Triangle given Circumradius

LaTeX Go Height of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle

Height of Equilateral Triangle given Inradius

LaTeX Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Height of Equilateral Triangle given Area Formula

LaTeX Go

Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))
h = sqrt(3)/2*sqrt((4*A)/sqrt(3))

What is an Equilateral Triangle?

In geometry, an Equilateral Triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

What is height of an Equilateral Triangle and how it is calculated?

The height of a Triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. In an equilateral triangle, all three sides are equal and all the angles measure 60 degrees. Its height is calculated by the formula h= √3a / 2 where h=height of an equilateral triangle and a is the length of the side of the equilateral triangle.

How to Calculate Height of Equilateral Triangle given Area?

Height of Equilateral Triangle given Area calculator uses Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3)) to calculate 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 calculate Height of Equilateral Triangle given Area using this online calculator? To use this online calculator for Height of Equilateral Triangle given Area, enter Area of Equilateral Triangle (A) and hit the calculate button. Here is how the Height of Equilateral Triangle given Area calculation can be explained with given input values -> 7.208434 = sqrt(3)/2*sqrt((4*30)/sqrt(3)).

FAQ

What is Height of Equilateral Triangle given Area?

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 and is represented as h = sqrt(3)/2*sqrt((4*A)/sqrt(3)) or Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3)). The Area of Equilateral Triangle is the amount of space or region occupied by the Equilateral triangle in the plane.

How to calculate Height of Equilateral Triangle given Area?

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 is calculated using Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3)). To calculate Height of Equilateral Triangle given Area, you need Area of Equilateral Triangle (A). With our tool, you need to enter the respective value for Area of Equilateral Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Equilateral Triangle?

In this formula, Height of Equilateral Triangle uses Area of Equilateral Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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