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Diagonal of Decagon across Three Sides Formula

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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. Check FAQs

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

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

Diagonal of Decagon across Three Sides Example

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

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

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

26.1803 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot 10

26.1803m = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot 10m

26.1803 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot 10

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Diagonal of Decagon across Three Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot 10

Next Step Evaluate

∴

d 3 = 26.1803398874989m

LAST Step Rounding Answer

∴

d 3 = 26.1803m

Diagonal of Decagon across Three Sides Formula Elements

Variables

Functions

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

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

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 in Diagonal of Decagon across Three Sides category

Go Diagonal of Decagon across Five Sides

d 5 = (1 + \sqrt{5}) \cdot S

Go Diagonal of Decagon across Four Sides

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

Go Diagonal of Decagon across Two Sides

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

Go Diagonal of Decagon across Four Sides given Inradius

d 4 = (2 \cdot r i)

How to Evaluate Diagonal of Decagon across Three Sides?

Diagonal of Decagon across Three Sides evaluator uses Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Side of Decagon to evaluate the Diagonal across Three Sides of Decagon, The Diagonal of Decagon across Three Sides formula is defined as a straight line joining two non-adjacent vertices across the three sides of the Decagon. Diagonal across Three Sides of Decagon is denoted by d₃ symbol.

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

FAQs on Diagonal of Decagon across Three Sides

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

The formula of Diagonal of Decagon across Three Sides is expressed as Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Side of Decagon. Here is an example- 26.18034 = sqrt(14+(6*sqrt(5)))/2*10.

How to calculate Diagonal of Decagon across Three Sides?

With Side of Decagon (S) we can find Diagonal of Decagon across Three Sides using the formula - Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Side of Decagon. This formula also uses Square Root (sqrt) function(s).

Can the Diagonal of Decagon across Three Sides be negative?

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

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

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

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