Height of Decagon given Diagonal across Three Sides Calculator

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

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

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Height of Decagon given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Height of Decagon - (Measured in Meter) - Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.
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.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Three Sides of Decagon: 26 Meter --> 26 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(5+(2*sqrt(5)))*(2*d₃)/sqrt(14+(6*sqrt(5))) --> sqrt(5+(2*sqrt(5)))*(2*26)/sqrt(14+(6*sqrt(5)))

Evaluating ... ...

h = 30.5648331192086

STEP 3: Convert Result to Output's Unit

30.5648331192086 Meter --> No Conversion Required

FINAL ANSWER

30.5648331192086 ≈ 30.56483 Meter <-- Height of Decagon

(Calculation completed in 00.004 seconds)

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< Height of Decagon Calculators

Height of Decagon given Diagonal across Five Sides

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

Height of Decagon given Width

LaTeX Go Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))

Height of Decagon

LaTeX Go Height of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon

Height of Decagon given Inradius

LaTeX Go Height of Decagon = 2*Inradius of Decagon

Height of Decagon given Diagonal across Three Sides Formula

LaTeX Go

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

Height of Decagon given Diagonal across Three Sides calculator uses Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))) to calculate the Height of Decagon, The Height of Decagon given Diagonal across Three Sides formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using a diagonal across three sides. Height of Decagon is denoted by h symbol.

How to calculate Height of Decagon given Diagonal across Three Sides using this online calculator? To use this online calculator for Height of Decagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Decagon (d₃) and hit the calculate button. Here is how the Height of Decagon given Diagonal across Three Sides calculation can be explained with given input values -> 30.56483 = sqrt(5+(2*sqrt(5)))*(2*26)/sqrt(14+(6*sqrt(5))).

FAQ

What is Height of Decagon given Diagonal across Three Sides?

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

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

The Height of Decagon given Diagonal across Three Sides formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using a diagonal across three sides is calculated using Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))). To calculate Height of Decagon given Diagonal across Three Sides, you need Diagonal across Three Sides of Decagon (d₃). With our tool, you need to enter the respective value for Diagonal across Three Sides 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 Height of Decagon?

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

Height of Decagon = 2*Inradius of Decagon
Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))
Height of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon

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