Semiperimeter of Equilateral Triangle given Height 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 [h]

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✖The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.ⓘ Semiperimeter of Equilateral Triangle given Height [s]

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Formula

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Semiperimeter of Equilateral Triangle given Height

Formula

s = \sqrt{3} \cdot h

Example

12.12436 m = \sqrt{3} \cdot 7 m

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Semiperimeter of Equilateral Triangle given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Semiperimeter of Equilateral Triangle = sqrt(3)*Height of Equilateral Triangle
s = sqrt(3)*h
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

Semiperimeter of Equilateral Triangle - (Measured in Meter) - The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Equilateral Triangle: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = sqrt(3)*h --> sqrt(3)*7

Evaluating ... ...

s = 12.1243556529821

STEP 3: Convert Result to Output's Unit

12.1243556529821 Meter --> No Conversion Required

FINAL ANSWER

12.1243556529821 ≈ 12.12436 Meter <-- Semiperimeter of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Semiperimeter of Equilateral Triangle Calculators

Semiperimeter of Equilateral Triangle given Area

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

Semiperimeter of Equilateral Triangle given Circumradius

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

Semiperimeter of Equilateral Triangle given Height

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

Semiperimeter of Equilateral Triangle

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

Semiperimeter of Equilateral Triangle given Height Formula

Semiperimeter of Equilateral Triangle = sqrt(3)*Height of Equilateral Triangle
s = sqrt(3)*h

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°.

How Semiperimeter is calculated?

Its Semiperimeter is calculated by the formula S = 3a/2 where S is the semi perimeter of an equilateral triangle and a is the length of the side of the triangle.

How to Calculate Semiperimeter of Equilateral Triangle given Height?

Semiperimeter of Equilateral Triangle given Height calculator uses Semiperimeter of Equilateral Triangle = sqrt(3)*Height of Equilateral Triangle to calculate the Semiperimeter of Equilateral Triangle, The Semiperimeter of Equilateral Triangle given Height formula is defined as half of the sum of the length of all sides of an Equilateral Triangle, which is also half of the perimeter of the triangle, calculated using height. Semiperimeter of Equilateral Triangle is denoted by s symbol.

How to calculate Semiperimeter of Equilateral Triangle given Height using this online calculator? To use this online calculator for Semiperimeter of Equilateral Triangle given Height, enter Height of Equilateral Triangle (h) and hit the calculate button. Here is how the Semiperimeter of Equilateral Triangle given Height calculation can be explained with given input values -> 12.12436 = sqrt(3)*7.

FAQ

What is Semiperimeter of Equilateral Triangle given Height?

The Semiperimeter of Equilateral Triangle given Height formula is defined as half of the sum of the length of all sides of an Equilateral Triangle, which is also half of the perimeter of the triangle, calculated using height and is represented as s = sqrt(3)*h or Semiperimeter of Equilateral Triangle = sqrt(3)*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.

How to calculate Semiperimeter of Equilateral Triangle given Height?

The Semiperimeter of Equilateral Triangle given Height formula is defined as half of the sum of the length of all sides of an Equilateral Triangle, which is also half of the perimeter of the triangle, calculated using height is calculated using Semiperimeter of Equilateral Triangle = sqrt(3)*Height of Equilateral Triangle. To calculate Semiperimeter of Equilateral Triangle given Height, you need Height of Equilateral Triangle (h). With our tool, you need to enter the respective value for Height 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 Semiperimeter of Equilateral Triangle?

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

Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle
Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2
Semiperimeter of Equilateral Triangle = 3/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

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