Diagonal of Decagon across Three Sides given Height Calculator

✖Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Decagon [h]

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✖Diagonal across Three Sides of Decagon is a straight line joining two non-adjacent sides which is across three sides of the Decagon.ⓘ Diagonal of Decagon across Three Sides given Height [d₃]

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Diagonal of Decagon across Three Sides given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Height of Decagon/sqrt(5+(2*sqrt(5)))
d₃ = sqrt(14+(6*sqrt(5)))/2*h/sqrt(5+(2*sqrt(5)))
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

Diagonal across Three Sides of Decagon - (Measured in Meter) - Diagonal across Three Sides of Decagon is a straight line joining two non-adjacent sides which is across three sides of the Decagon.
Height of Decagon - (Measured in Meter) - Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Decagon: 31 Meter --> 31 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₃ = sqrt(14+(6*sqrt(5)))/2*h/sqrt(5+(2*sqrt(5))) --> sqrt(14+(6*sqrt(5)))/2*31/sqrt(5+(2*sqrt(5)))

Evaluating ... ...

d₃ = 26.3701750589132

STEP 3: Convert Result to Output's Unit

26.3701750589132 Meter --> No Conversion Required

FINAL ANSWER

26.3701750589132 ≈ 26.37018 Meter <-- Diagonal across Three Sides of Decagon

(Calculation completed in 00.004 seconds)

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< Diagonal of Decagon across Three Sides Calculators

Diagonal of Decagon across Three Sides given Diagonal across Two Sides

LaTeX Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))

Diagonal of Decagon across Three Sides given Diagonal across Four Sides

LaTeX Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

Diagonal of Decagon across Three Sides given Diagonal across Five Sides

LaTeX Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))

Diagonal of Decagon across Three Sides

LaTeX Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Side of Decagon

Diagonal of Decagon across Three Sides given Height Formula

LaTeX Go

Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Height of Decagon/sqrt(5+(2*sqrt(5)))
d₃ = sqrt(14+(6*sqrt(5)))/2*h/sqrt(5+(2*sqrt(5)))

What is a Decagon?

Decagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.

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

Diagonal of Decagon across Three Sides given Height calculator uses Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Height of Decagon/sqrt(5+(2*sqrt(5))) to calculate the Diagonal across Three Sides of Decagon, The Diagonal of Decagon across Three Sides given Height formula is defined as the straight line joining two non-adjacent vertices across the three sides of the Decagon, calculated using height. Diagonal across Three Sides of Decagon is denoted by d₃ symbol.

How to calculate Diagonal of Decagon across Three Sides given Height using this online calculator? To use this online calculator for Diagonal of Decagon across Three Sides given Height, enter Height of Decagon (h) and hit the calculate button. Here is how the Diagonal of Decagon across Three Sides given Height calculation can be explained with given input values -> 26.37018 = sqrt(14+(6*sqrt(5)))/2*31/sqrt(5+(2*sqrt(5))).

FAQ

What is Diagonal of Decagon across Three Sides given Height?

The Diagonal of Decagon across Three Sides given Height formula is defined as the straight line joining two non-adjacent vertices across the three sides of the Decagon, calculated using height and is represented as d₃ = sqrt(14+(6*sqrt(5)))/2*h/sqrt(5+(2*sqrt(5))) or Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Height of Decagon/sqrt(5+(2*sqrt(5))). Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Diagonal of Decagon across Three Sides given Height?

The Diagonal of Decagon across Three Sides given Height formula is defined as the straight line joining two non-adjacent vertices across the three sides of the Decagon, calculated using height is calculated using Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Height of Decagon/sqrt(5+(2*sqrt(5))). To calculate Diagonal of Decagon across Three Sides given Height, you need Height of Decagon (h). With our tool, you need to enter the respective value for Height of Decagon 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 Diagonal across Three Sides of Decagon?

In this formula, Diagonal across Three Sides of Decagon uses Height of Decagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Side of Decagon
Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

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