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Diagonal of Decagon across Three Sides given Diagonal across Four Sides Formula

GoDiagonal of Decagon across Three Sides Formula

GoDiagonal of Decagon across Three Sides given Diagonal across Five 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 \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

d₃ - Diagonal across Three Sides of Decagon?d₄ - Diagonal across Four Sides of Decagon?

Diagonal of Decagon across Three Sides given Diagonal across Four Sides Example

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

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

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

26.3702 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

26.3702m = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{31m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

26.3702 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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Diagonal of Decagon across Three Sides given Diagonal across Four Sides Solution

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

FIRST Step Consider the formula

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{31m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

d 3 = 26.3701750589132m

LAST Step Rounding Answer

∴

d 3 = 26.3702m

Diagonal of Decagon across Three Sides given Diagonal across Four 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

Diagonal across Four Sides of Decagon

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

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Four 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 Diagonal across Three Sides of Decagon

Go Diagonal of Decagon across Three Sides

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

Go Diagonal of Decagon across Three Sides given Diagonal across Five Sides

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{d 5}{1 + \sqrt{5}}

Go Diagonal of Decagon across Three Sides given Diagonal across Two Sides

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

Go Diagonal of Decagon across Three Sides given Perimeter

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

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

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

How to evaluate Diagonal of Decagon across Three Sides given Diagonal across Four Sides using this online evaluator? To use this online evaluator for Diagonal of Decagon across Three Sides given Diagonal across Four Sides, enter Diagonal across Four Sides of Decagon (d₄) and hit the calculate button.

FAQs on Diagonal of Decagon across Three Sides given Diagonal across Four Sides

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

The formula of Diagonal of Decagon across Three Sides given Diagonal across Four Sides is expressed as Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). Here is an example- 26.37018 = sqrt(14+(6*sqrt(5)))/2*31/sqrt(5+(2*sqrt(5))).

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

With Diagonal across Four Sides of Decagon (d₄) we can find Diagonal of Decagon across Three Sides given Diagonal across Four Sides using the formula - Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal across Three Sides of Decagon?

Here are the different ways to Calculate Diagonal across Three Sides of Decagon-

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*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))

Can the Diagonal of Decagon across Three Sides given Diagonal across Four Sides be negative?

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

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

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

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