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(AEquilateral Triangle*12/sqrt(3))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, 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(AEquilateral 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 Meter <-- Height of Hexagon
(Calculation completed in 00.010 seconds)

Credits

Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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9 Height of Hexagon Calculators

Height of Hexagon given Area of Equilateral Triangle
Height of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*12/sqrt(3)) Go
Height of Hexagon given Area
Height of Hexagon = sqrt((2/(sqrt(3)))*Area of Hexagon) Go
Height of Hexagon given Long Diagonal
Height of Hexagon = ((sqrt(3))/2)*Long Diagonal of Hexagon Go
Height of Hexagon given Perimeter
Height of Hexagon = Perimeter of Hexagon/(2*(sqrt(3))) Go
Height of Hexagon given Circumradius
Height of Hexagon = (sqrt(3))*Circumradius of Hexagon Go
Height of Hexagon
Height of Hexagon = (sqrt(3))*Edge Length of Hexagon Go
Height of Hexagon given Width
Height of Hexagon = Width of Hexagon*sqrt(3)/2 Go
Height of Hexagon given Short Diagonal
Height of Hexagon = Short Diagonal of Hexagon/1 Go
Height of Hexagon given Inradius
Height of Hexagon = 2*Inradius of Hexagon Go

Height of Hexagon given Area of Equilateral Triangle Formula

Height of Hexagon = sqrt(Area of Equilateral Triangle of Hexagon*12/sqrt(3))
h = sqrt(AEquilateral 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 (AEquilateral 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(AEquilateral 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 (AEquilateral 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 8 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
  • Height of Hexagon = ((sqrt(3))/2)*Long Diagonal of Hexagon
  • Height of Hexagon = Perimeter of Hexagon/(2*(sqrt(3)))
  • Height of Hexagon = sqrt((2/(sqrt(3)))*Area of Hexagon)
  • Height of Hexagon = Short Diagonal of Hexagon/1
  • Height of Hexagon = Width of Hexagon*sqrt(3)/2
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