Height of Hexagon given Area of Equilateral Triangle Calculator

✖Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.ⓘ Area of Equilateral Triangle of Hexagon [A_{Equilateral Triangle}]

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✖The Height of Hexagon is the vertical distance from the bottom edge to the top edge of the Hexagon.ⓘ Height of Hexagon given Area of Equilateral Triangle [h]

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Height of Hexagon given Area of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*12/sqrt(3))
h = sqrt(A_{Equilateral Triangle}*12/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 Hexagon - (Measured in Meter) - The Height of Hexagon is the vertical distance from the bottom edge to the top edge of the Hexagon.
Area of Equilateral Triangle of Hexagon - (Measured in Square Meter) - Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Area of Equilateral Triangle of Hexagon: 15 Square Meter --> 15 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(A_{Equilateral Triangle}*12/sqrt(3)) --> sqrt(15*12/sqrt(3))

Evaluating ... ...

h = 10.1942654690827

STEP 3: Convert Result to Output's Unit

10.1942654690827 Meter --> No Conversion Required

FINAL ANSWER

10.1942654690827 ≈ 10.19427 Meter <-- Height of Hexagon

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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< Height of Hexagon Calculators

Height of Hexagon given Long Diagonal

LaTeX Go Height of Hexagon = sqrt(3)/2*Long Diagonal of Hexagon

Height of Hexagon given Circumradius

LaTeX Go Height of Hexagon = sqrt(3)*Circumradius of Hexagon

Height of Hexagon

LaTeX Go Height of Hexagon = sqrt(3)*Edge Length of Hexagon

Height of Hexagon given Inradius

LaTeX Go Height of Hexagon = 2*Inradius of Hexagon

Height of Hexagon given Area of Equilateral Triangle Formula

LaTeX Go

Height of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*12/sqrt(3))
h = sqrt(A_{Equilateral Triangle}*12/sqrt(3))

What is Hexagon?

A regular Hexagon is defined as a hexagon that is both equilateral and equiangular. Simply it is the six sided regular polygon. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed circle or circumcircle, which equals 2/sqrt(3) times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular Hexagon has six rotational symmetries.

How to Calculate Height of Hexagon given Area of Equilateral Triangle?

Height of Hexagon given Area of Equilateral Triangle calculator uses Height of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*12/sqrt(3)) to calculate the Height of Hexagon, The Height of Hexagon given Area of Equilateral Triangle formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Hexagon, calculated using area of equilateral triangle. Height of Hexagon is denoted by h symbol.

How to calculate Height of Hexagon given Area of Equilateral Triangle using this online calculator? To use this online calculator for Height of Hexagon given Area of Equilateral Triangle, enter Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}) and hit the calculate button. Here is how the Height of Hexagon given Area of Equilateral Triangle calculation can be explained with given input values -> 10.19427 = sqrt(15*12/sqrt(3)).

FAQ

What is Height of Hexagon given Area of Equilateral Triangle?

The Height of Hexagon given Area of Equilateral Triangle formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Hexagon, calculated using area of equilateral triangle and is represented as h = sqrt(A_{Equilateral Triangle}*12/sqrt(3)) or Height of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*12/sqrt(3)). Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

How to calculate Height of Hexagon given Area of Equilateral Triangle?

The Height of Hexagon given Area of Equilateral Triangle formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Hexagon, calculated using area of equilateral triangle is calculated using Height of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*12/sqrt(3)). To calculate Height of Hexagon given Area of Equilateral Triangle, you need Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}). With our tool, you need to enter the respective value for Area of Equilateral Triangle of Hexagon 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 Hexagon?

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

Height of Hexagon = sqrt(3)*Circumradius of Hexagon
Height of Hexagon = 2*Inradius of Hexagon
Height of Hexagon = sqrt(3)*Edge Length of Hexagon

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