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Side of Decagon given Height Formula

GoSide of Decagon given Width Formula

GoSide of Decagon given Diagonal across Five Sides Formula

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Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon. Check FAQs

S = \frac{h}{\sqrt{5 + (2 \cdot \sqrt{5})}}

S - Side of Decagon?h - Height of Decagon?

Side of Decagon given Height Example

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Here is how the Side of Decagon given Height equation looks like with Values.

Here is how the Side of Decagon given Height equation looks like with Units.

Here is how the Side of Decagon given Height equation looks like.

10.0725 = \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

10.0725m = \frac{31m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

10.0725 = \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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Side of Decagon given Height Solution

Follow our step by step solution on how to calculate Side of Decagon given Height?

FIRST Step Consider the formula

S = \frac{h}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

S = \frac{31m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

S = \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

S = 10.0725105832201m

LAST Step Rounding Answer

∴

S = 10.0725m

Side of Decagon given Height Formula Elements

Variables

Functions

Side of Decagon

Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Decagon

Height of Decagon

Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Decagon

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.

Syntax: sqrt(Number)

Other Formulas to find Side of Decagon

Go Side of Decagon given Width

S = w \cdot \sin (\frac{π}{10})

Go Side of Decagon given Diagonal across Five Sides

S = \frac{d 5}{1 + \sqrt{5}}

Go Side of Decagon given Diagonal across Four Sides

S = \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Go Side of Decagon given Diagonal across Three Sides

S = \frac{2 \cdot d 3}{\sqrt{14 + (6 \cdot \sqrt{5})}}

How to Evaluate Side of Decagon given Height?

Side of Decagon given Height evaluator uses Side of Decagon = Height of Decagon/sqrt(5+(2*sqrt(5))) to evaluate the Side of Decagon, The Side of Decagon given Height formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the height. Side of Decagon is denoted by S symbol.

How to evaluate Side of Decagon given Height using this online evaluator? To use this online evaluator for Side of Decagon given Height, enter Height of Decagon (h) and hit the calculate button.

FAQs on Side of Decagon given Height

What is the formula to find Side of Decagon given Height?

The formula of Side of Decagon given Height is expressed as Side of Decagon = Height of Decagon/sqrt(5+(2*sqrt(5))). Here is an example- 10.07251 = 31/sqrt(5+(2*sqrt(5))).

How to calculate Side of Decagon given Height?

With Height of Decagon (h) we can find Side of Decagon given Height using the formula - Side of Decagon = Height of Decagon/sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Side of Decagon?

Here are the different ways to Calculate Side of Decagon-

Side of Decagon=Width of Decagon*sin(pi/10)
Side of Decagon=Diagonal across Five Sides of Decagon/(1+sqrt(5))
Side of Decagon=Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

Can the Side of Decagon given Height be negative?

No, the Side of Decagon given Height, measured in Length cannot be negative.

Which unit is used to measure Side of Decagon given Height?

Side of Decagon given Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Side of Decagon given Height can be measured.

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