Height of Equilateral Triangle Calculator

✖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.ⓘ Edge Length of Equilateral Triangle [l_e]

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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 [h]

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Formula

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Height of Equilateral Triangle

Formula

`"h" = sqrt(3)/2*"l"_{"e"}`

Example

`"6.928203m"=sqrt(3)/2*"8m"`

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Height of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
h = sqrt(3)/2*l_e
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.
Edge Length of Equilateral Triangle - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Equilateral Triangle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(3)/2*l_e --> sqrt(3)/2*8

Evaluating ... ...

h = 6.92820323027551

STEP 3: Convert Result to Output's Unit

6.92820323027551 Meter --> No Conversion Required

FINAL ANSWER

6.92820323027551 ≈ 6.928203 Meter <-- Height of Equilateral Triangle

(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 9 Height of Equilateral Triangle Calculators

Height of Equilateral Triangle given Area

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

Height of Equilateral Triangle given Semiperimeter

Go Height of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))

Height of Equilateral Triangle given Perimeter

Go Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))

Height of Equilateral Triangle

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

Height of Equilateral Triangle given Length of Angle Bisector

Go Height of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1

Height of Equilateral Triangle given Circumradius

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

Height of Equilateral Triangle given Inradius

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

Height of Equilateral Triangle given Exradius

Go Height of Equilateral Triangle = Exradius of Equilateral Triangle/1

Height of Equilateral Triangle given Median

Go Height of Equilateral Triangle = Median of Equilateral Triangle/1

< 13 Important Formulas of Equilateral Triangle Calculators

Length of Angle Bisector of Equilateral Triangle

Go Length of Angle Bisector of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Semiperimeter of Equilateral Triangle given Circumradius

Go Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle

Edge Length of Equilateral Triangle given Circumradius

Go Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle

Circumradius of Equilateral Triangle

Go Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3)

Inradius of Equilateral Triangle

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

Edge Length of Equilateral Triangle given Height

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

Exradius of Equilateral Triangle

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

Median of Equilateral Triangle

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

Height of Equilateral Triangle

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

Area of Equilateral Triangle

Go Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2

Semiperimeter of Equilateral Triangle

Go Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2

Perimeter of Equilateral Triangle

Go Perimeter of Equilateral Triangle = 3*Edge Length of Equilateral Triangle

Height of Equilateral Triangle given Inradius

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

Height of Equilateral Triangle Formula

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

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

The Altitude 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?

Height of Equilateral Triangle calculator uses Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle to calculate 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 calculate Height of Equilateral Triangle using this online calculator? To use this online calculator for Height of Equilateral Triangle, enter Edge Length of Equilateral Triangle (l_e) and hit the calculate button. Here is how the Height of Equilateral Triangle calculation can be explained with given input values -> 6.928203 = sqrt(3)/2*8.

FAQ

What is 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 and is represented as h = sqrt(3)/2*l_e or Height of Equilateral Triangle = sqrt(3)/2*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.

How to calculate 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 is calculated using Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle. To calculate Height of Equilateral Triangle, you need Edge Length of Equilateral Triangle (l_e). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Equilateral Triangle. We can use 9 other way(s) to calculate the same, which is/are as follows -

Height of Equilateral Triangle = 3/2*Circumradius 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))
Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
Height of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))
Height of Equilateral Triangle = Exradius of Equilateral Triangle/1
Height of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1
Height of Equilateral Triangle = Median of Equilateral Triangle/1
Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

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