Height of Equilateral Triangle given Perimeter Calculator

✖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 Perimeter [h]

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Formula

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Height of Equilateral Triangle given Perimeter

Formula

`"h" = "P"/(2*sqrt(3))`

Example

`"7.216878m"="25m"/(2*sqrt(3))`

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Height of Equilateral Triangle given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
h = P/(2*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.
Perimeter of Equilateral Triangle - (Measured in Meter) - Perimeter of Equilateral Triangle is defined as the length around the edge of the Equilateral Triangle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Equilateral Triangle: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = P/(2*sqrt(3)) --> 25/(2*sqrt(3))

Evaluating ... ...

h = 7.21687836487032

STEP 3: Convert Result to Output's Unit

7.21687836487032 Meter --> No Conversion Required

FINAL ANSWER

7.21687836487032 ≈ 7.216878 Meter <-- Height of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Created by Bhavya Mutyala

Osmania University (OU), Hyderabad

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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

Height of Equilateral Triangle given Perimeter Formula

Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
h = P/(2*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 Perimeter?

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

How to calculate Height of Equilateral Triangle given Perimeter using this online calculator? To use this online calculator for Height of Equilateral Triangle given Perimeter, enter Perimeter of Equilateral Triangle (P) and hit the calculate button. Here is how the Height of Equilateral Triangle given Perimeter calculation can be explained with given input values -> 7.216878 = 25/(2*sqrt(3)).

FAQ

What is Height of Equilateral Triangle given Perimeter?

The Height of Equilateral Triangle given Perimeter formula is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side, calculated using perimeter and is represented as h = P/(2*sqrt(3)) or Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3)). Perimeter of Equilateral Triangle is defined as the length around the edge of the Equilateral Triangle.

How to calculate Height of Equilateral Triangle given Perimeter?

The Height of Equilateral Triangle given Perimeter formula is defined as a perpendicular line that is drawn from any vertex of the triangle on the opposite side, calculated using perimeter is calculated using Height of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3)). To calculate Height of Equilateral Triangle given Perimeter, you need Perimeter of Equilateral Triangle (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter of Equilateral Triangle. We can use 8 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
Height of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/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

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