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Height of Decagon given Diagonal across Three Sides Formula

GoHeight of Decagon given Inradius Formula

GoHeight of Decagon given Width Formula

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

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

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

Height of Decagon given Diagonal across Three Sides Example

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

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

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

30.5648 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 26}{\sqrt{14 + (6 \cdot \sqrt{5})}}

30.5648m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 26m}{\sqrt{14 + (6 \cdot \sqrt{5})}}

30.5648 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 26}{\sqrt{14 + (6 \cdot \sqrt{5})}}

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2D Geometry » fx Height of Decagon given Diagonal across Three Sides

Height of Decagon given Diagonal across Three Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h = 30.5648331192086m

LAST Step Rounding Answer

∴

h = 30.5648m

Height of Decagon given Diagonal across Three Sides Formula Elements

Variables

Functions

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

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 Height of Decagon

Go Height of Decagon given Inradius

h = 2 \cdot r i

Go Height of Decagon given Width

h = \frac{\sqrt{5 + (2 \cdot \sqrt{5})} \cdot w}{1 + \sqrt{5}}

Go Height of Decagon

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

Go Height of Decagon given Diagonal across Five Sides

h = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{d 5}{1 + \sqrt{5}}

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

Height of Decagon given Diagonal across Three Sides evaluator uses Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))) to evaluate the Height of Decagon, The Height of Decagon given Diagonal across Three Sides formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using a diagonal across three sides. Height of Decagon is denoted by h symbol.

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

FAQs on Height of Decagon given Diagonal across Three Sides

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

The formula of Height of Decagon given Diagonal across Three Sides is expressed as Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))). Here is an example- 30.56483 = sqrt(5+(2*sqrt(5)))*(2*26)/sqrt(14+(6*sqrt(5))).

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

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

What are the other ways to Calculate Height of Decagon?

Here are the different ways to Calculate Height of Decagon-

Height of Decagon=2*Inradius of Decagon
Height of Decagon=(sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))
Height of Decagon=sqrt(5+(2*sqrt(5)))*Side of Decagon

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

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

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

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

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