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Height of Decagon given Diagonal across Two 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 2}{\sqrt{10 + (2 \cdot \sqrt{5})}}

h - Height of Decagon?d₂ - Diagonal across Two Sides of Decagon?

Height of Decagon given Diagonal across Two Sides Example

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

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

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

30.7426 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

30.7426m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

30.7426 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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

Height of Decagon given Diagonal across Two Sides Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 19m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

h = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot 19}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

h = 30.742645786248m

LAST Step Rounding Answer

∴

h = 30.7426m

Height of Decagon given Diagonal across Two 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 Two Sides of Decagon

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

Symbol: d₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Two 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 Two Sides?

Height of Decagon given Diagonal across Two Sides evaluator uses Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))) to evaluate the Height of Decagon, The Height of Decagon given Diagonal across Two 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 two sides. Height of Decagon is denoted by h symbol.

How to evaluate Height of Decagon given Diagonal across Two Sides using this online evaluator? To use this online evaluator for Height of Decagon given Diagonal across Two Sides, enter Diagonal across Two Sides of Decagon (d₂) and hit the calculate button.

FAQs on Height of Decagon given Diagonal across Two Sides

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

The formula of Height of Decagon given Diagonal across Two Sides is expressed as Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))). Here is an example- 30.74265 = sqrt(5+(2*sqrt(5)))*(2*19)/sqrt(10+(2*sqrt(5))).

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

With Diagonal across Two Sides of Decagon (d₂) we can find Height of Decagon given Diagonal across Two Sides using the formula - Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*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 Two Sides be negative?

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

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

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

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