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Diagonal of Decagon across Three Sides given Height 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{h}{\sqrt{5 + (2 \cdot \sqrt{5})}}

d₃ - Diagonal across Three Sides of Decagon?h - Height of Decagon?

Diagonal of Decagon across Three Sides given Height Example

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

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

Here is how the Diagonal of Decagon across Three Sides given Height 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 Height Solution

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

FIRST Step Consider the formula

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

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 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 Four Sides

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

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

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

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

FAQs on Diagonal of Decagon across Three Sides given Height

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

The formula of Diagonal of Decagon across Three Sides given Height is expressed as Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Height 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 Height?

With Height of Decagon (h) we can find Diagonal of Decagon across Three Sides given Height using the formula - Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Height 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*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

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

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

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

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

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