Diagonal of Pentagon given Height Calculator

✖Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.ⓘ Height of Pentagon [h]

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✖Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.ⓘ Diagonal of Pentagon given Height [d]

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Diagonal of Pentagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Pentagon = (1+sqrt(5))*Height of Pentagon/sqrt(5+(2*sqrt(5)))
d = (1+sqrt(5))*h/sqrt(5+(2*sqrt(5)))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Diagonal of Pentagon - (Measured in Meter) - Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.
Height of Pentagon - (Measured in Meter) - Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.

STEP 1: Convert Input(s) to Base Unit

Height of Pentagon: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (1+sqrt(5))*h/sqrt(5+(2*sqrt(5))) --> (1+sqrt(5))*15/sqrt(5+(2*sqrt(5)))

Evaluating ... ...

d = 15.771933363574

STEP 3: Convert Result to Output's Unit

15.771933363574 Meter --> No Conversion Required

FINAL ANSWER

15.771933363574 ≈ 15.77193 Meter <-- Diagonal of Pentagon

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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< Diagonal of Pentagon Calculators

Diagonal of Pentagon given Area

LaTeX Go Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5))))

Diagonal of Pentagon given Circumradius

LaTeX Go Diagonal of Pentagon = Circumradius of Pentagon/(sqrt((5-sqrt(5))/10))

Diagonal of Pentagon

LaTeX Go Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2

Diagonal of Pentagon given Perimeter

LaTeX Go Diagonal of Pentagon = (1+sqrt(5))*Perimeter of Pentagon/10

Diagonal of Pentagon given Height Formula

LaTeX Go

Diagonal of Pentagon = (1+sqrt(5))*Height of Pentagon/sqrt(5+(2*sqrt(5)))
d = (1+sqrt(5))*h/sqrt(5+(2*sqrt(5)))

What is Pentagon?

A Pentagon shape is a flat shape or a flat (two-dimensional) 5-sided geometric shape. In geometry, it is considered as a is a five-sided polygon with five straight sides and five interior angles, which add up to 540°. Pentagons can be simple or self-intersecting. A simple pentagon (5-gon) must have five straight sides that meet to create five vertices but do not intersect with each other. A self-intersecting regular pentagon is called a pentagram.

How to Calculate Diagonal of Pentagon given Height?

Diagonal of Pentagon given Height calculator uses Diagonal of Pentagon = (1+sqrt(5))*Height of Pentagon/sqrt(5+(2*sqrt(5))) to calculate the Diagonal of Pentagon, The Diagonal of Pentagon given Height is defined as the length of the line segment joining two non adjacent vertices of Pentagon, calculated using height. Diagonal of Pentagon is denoted by d symbol.

How to calculate Diagonal of Pentagon given Height using this online calculator? To use this online calculator for Diagonal of Pentagon given Height, enter Height of Pentagon (h) and hit the calculate button. Here is how the Diagonal of Pentagon given Height calculation can be explained with given input values -> 15.77193 = (1+sqrt(5))*15/sqrt(5+(2*sqrt(5))).

FAQ

What is Diagonal of Pentagon given Height?

The Diagonal of Pentagon given Height is defined as the length of the line segment joining two non adjacent vertices of Pentagon, calculated using height and is represented as d = (1+sqrt(5))*h/sqrt(5+(2*sqrt(5))) or Diagonal of Pentagon = (1+sqrt(5))*Height of Pentagon/sqrt(5+(2*sqrt(5))). Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.

How to calculate Diagonal of Pentagon given Height?

The Diagonal of Pentagon given Height is defined as the length of the line segment joining two non adjacent vertices of Pentagon, calculated using height is calculated using Diagonal of Pentagon = (1+sqrt(5))*Height of Pentagon/sqrt(5+(2*sqrt(5))). To calculate Diagonal of Pentagon given Height, you need Height of Pentagon (h). With our tool, you need to enter the respective value for Height of Pentagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diagonal of Pentagon?

In this formula, Diagonal of Pentagon uses Height of Pentagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diagonal of Pentagon = Circumradius of Pentagon/(sqrt((5-sqrt(5))/10))
Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2
Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5))))

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