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Height of Dodecagon given Diagonal across Three Sides Formula

GoHeight of Dodecagon given Diagonal across Two Sides Formula

GoHeight of Dodecagon given Diagonal across Four Sides Formula

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Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon. Check FAQs

h = (2 + \sqrt{3}) \cdot \frac{d 3}{\sqrt{3} + 1}

h - Height of Dodecagon?d₃ - Diagonal Across Three Sides of Dodecagon?

Height of Dodecagon given Diagonal across Three Sides Example

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

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

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

36.8827 = (2 + \sqrt{3}) \cdot \frac{27}{\sqrt{3} + 1}

36.8827m = (2 + \sqrt{3}) \cdot \frac{27m}{\sqrt{3} + 1}

36.8827 = (2 + \sqrt{3}) \cdot \frac{27}{\sqrt{3} + 1}

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Height of Dodecagon given Diagonal across Three Sides Solution

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

FIRST Step Consider the formula

h = (2 + \sqrt{3}) \cdot \frac{d 3}{\sqrt{3} + 1}

Next Step Substitute values of Variables

∴

h = (2 + \sqrt{3}) \cdot \frac{27m}{\sqrt{3} + 1}

Next Step Prepare to Evaluate

∴

h = (2 + \sqrt{3}) \cdot \frac{27}{\sqrt{3} + 1}

Next Step Evaluate

∴

h = 36.8826859021798m

LAST Step Rounding Answer

∴

h = 36.8827m

Height of Dodecagon given Diagonal across Three Sides Formula Elements

Variables

Functions

Height of Dodecagon

Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Dodecagon

Diagonal Across Three Sides of Dodecagon

Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Three Sides of Dodecagon

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 Dodecagon

Go Height of Dodecagon given Diagonal across Two Sides

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

Go Height of Dodecagon given Diagonal across Four Sides

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

Go Height of Dodecagon given Diagonal across Six Sides

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

Go Height of Dodecagon

h = (2 + \sqrt{3}) \cdot S

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

Height of Dodecagon given Diagonal across Three Sides evaluator uses Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1) to evaluate the Height of Dodecagon, Height of Dodecagon given Diagonal across Three Sides formula is defined as the perpendicular distance between any pair of opposite edges of the Dodecagon, calculated using a diagonal across three sides. Height of Dodecagon is denoted by h symbol.

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

FAQs on Height of Dodecagon given Diagonal across Three Sides

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

The formula of Height of Dodecagon given Diagonal across Three Sides is expressed as Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). Here is an example- 36.88269 = (2+sqrt(3))*27/(sqrt(3)+1).

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

With Diagonal Across Three Sides of Dodecagon (d₃) we can find Height of Dodecagon given Diagonal across Three Sides using the formula - Height of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Dodecagon?

Here are the different ways to Calculate Height of Dodecagon-

Height of Dodecagon=(2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Height of Dodecagon=(2+sqrt(3))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Height of Dodecagon=(2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))

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

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

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

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

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