Height of Dodecagon given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
h = (2+sqrt(3))*d3/(sqrt(3)+1)
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 Dodecagon - (Measured in Meter) - Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.
Diagonal Across Three Sides of Dodecagon - (Measured in Meter) - Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.
STEP 1: Convert Input(s) to Base Unit
Diagonal Across Three Sides of Dodecagon: 27 Meter --> 27 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (2+sqrt(3))*d3/(sqrt(3)+1) --> (2+sqrt(3))*27/(sqrt(3)+1)
Evaluating ... ...
h = 36.8826859021798
STEP 3: Convert Result to Output's Unit
36.8826859021798 Meter --> No Conversion Required
FINAL ANSWER
36.8826859021798 36.88269 Meter <-- Height of Dodecagon
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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Indian Institute of Information Technology (IIIT), Bhopal
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11 Height of Dodecagon Calculators

Height of Dodecagon given Diagonal across Four Sides
Go Height of Dodecagon = (2+sqrt(3))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Height of Dodecagon given Diagonal across Two Sides
Go Height of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Height of Dodecagon given Diagonal across Six Sides
Go Height of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))
Height of Dodecagon given Circumradius
Go Height of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
Height of Dodecagon given Diagonal across Three Sides
Go Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
Height of Dodecagon given Area
Go Height of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Height of Dodecagon given Perimeter
Go Height of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12
Height of Dodecagon
Go Height of Dodecagon = (2+sqrt(3))*Side of Dodecagon
Height of Dodecagon given Diagonal across Five Sides
Go Height of Dodecagon = Diagonal Across Five Sides of Dodecagon/1
Height of Dodecagon given Inradius
Go Height of Dodecagon = 2*Inradius of Dodecagon
Height of Dodecagon given Width
Go Height of Dodecagon = Width of Dodecagon/1

Height of Dodecagon given Diagonal across Three Sides Formula

Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
h = (2+sqrt(3))*d3/(sqrt(3)+1)

What is Dodecagon?

A regular Dodecagon is a figure with sides of the same length and internal angles of the same size. It has twelve lines of reflective symmetry and rotational symmetry of order 12. It can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.

How to Calculate Height of Dodecagon given Diagonal across Three Sides?

Height of Dodecagon given Diagonal across Three Sides calculator uses Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1) to calculate the Height of Dodecagon, Height of Dodecagon given Diagonal across Three Sides formula is defined as the perpendicular distance between any pair of opposite edges of the Dodecagon, calculated using a diagonal across three sides. Height of Dodecagon is denoted by h symbol.

How to calculate Height of Dodecagon given Diagonal across Three Sides using this online calculator? To use this online calculator for Height of Dodecagon given Diagonal across Three Sides, enter Diagonal Across Three Sides of Dodecagon (d3) and hit the calculate button. Here is how the Height of Dodecagon given Diagonal across Three Sides calculation can be explained with given input values -> 36.88269 = (2+sqrt(3))*27/(sqrt(3)+1).

FAQ

What is Height of Dodecagon given Diagonal across Three Sides?
Height of Dodecagon given Diagonal across Three Sides formula is defined as the perpendicular distance between any pair of opposite edges of the Dodecagon, calculated using a diagonal across three sides and is represented as h = (2+sqrt(3))*d3/(sqrt(3)+1) or Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.
How to calculate Height of Dodecagon given Diagonal across Three Sides?
Height of Dodecagon given Diagonal across Three Sides formula is defined as the perpendicular distance between any pair of opposite edges of the Dodecagon, calculated using a diagonal across three sides is calculated using Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). To calculate Height of Dodecagon given Diagonal across Three Sides, you need Diagonal Across Three Sides of Dodecagon (d3). With our tool, you need to enter the respective value for Diagonal Across Three Sides of Dodecagon 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 Dodecagon?
In this formula, Height of Dodecagon uses Diagonal Across Three Sides of Dodecagon. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Height of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
  • Height of Dodecagon = (2+sqrt(3))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
  • Height of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))
  • Height of Dodecagon = (2+sqrt(3))*Side of Dodecagon
  • Height of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
  • Height of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12
  • Height of Dodecagon = 2*Inradius of Dodecagon
  • Height of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
  • Height of Dodecagon = Width of Dodecagon/1
  • Height of Dodecagon = Diagonal Across Five Sides of Dodecagon/1
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