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Side of Decagon given Diagonal across Three Sides 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{2 \cdot d 3}{\sqrt{14 + (6 \cdot \sqrt{5})}}

S - Side of Decagon?d₃ - Diagonal across Three Sides of Decagon?

Side of Decagon given Diagonal across Three Sides Example

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Here is how the Side of Decagon given Diagonal across Three Sides equation looks like with Values.

Here is how the Side of Decagon given Diagonal across Three Sides equation looks like with Units.

Here is how the Side of Decagon given Diagonal across Three Sides equation looks like.

9.9311 = \frac{2 \cdot 26}{\sqrt{14 + (6 \cdot \sqrt{5})}}

9.9311m = \frac{2 \cdot 26m}{\sqrt{14 + (6 \cdot \sqrt{5})}}

9.9311 = \frac{2 \cdot 26}{\sqrt{14 + (6 \cdot \sqrt{5})}}

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Side of Decagon given Diagonal across Three Sides Solution

Follow our step by step solution on how to calculate Side of Decagon given Diagonal across Three Sides?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{2 \cdot 26m}{\sqrt{14 + (6 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

S = \frac{2 \cdot 26}{\sqrt{14 + (6 \cdot \sqrt{5})}}

Next Step Evaluate

∴

S = 9.93111629250273m

LAST Step Rounding Answer

∴

S = 9.9311m

Side of Decagon given Diagonal across Three Sides 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

Diagonal across Three Sides of Decagon

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

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Three Sides 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 Two Sides

S = \frac{2 \cdot d 2}{\sqrt{10 + (2 \cdot \sqrt{5})}}

How to Evaluate Side of Decagon given Diagonal across Three Sides?

Side of Decagon given Diagonal across Three Sides evaluator uses Side of Decagon = (2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))) to evaluate the Side of Decagon, The Side of Decagon given Diagonal across Three Sides formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the diagonal across three sides. Side of Decagon is denoted by S symbol.

How to evaluate Side of Decagon given Diagonal across Three Sides using this online evaluator? To use this online evaluator for Side of Decagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Decagon (d₃) and hit the calculate button.

FAQs on Side of Decagon given Diagonal across Three Sides

What is the formula to find Side of Decagon given Diagonal across Three Sides?

The formula of Side of Decagon given Diagonal across Three Sides is expressed as Side of Decagon = (2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))). Here is an example- 9.931116 = (2*26)/sqrt(14+(6*sqrt(5))).

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

With Diagonal across Three Sides of Decagon (d₃) we can find Side of Decagon given Diagonal across Three Sides using the formula - Side of Decagon = (2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))). This formula also uses Square Root Function 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 Diagonal across Three Sides be negative?

No, the Side of Decagon given Diagonal across Three Sides, measured in Length cannot be negative.

Which unit is used to measure Side of Decagon given Diagonal across Three Sides?

Side of Decagon given Diagonal across Three Sides 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 Diagonal across Three Sides can be measured.

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