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## Height of pentagonal trapezohedron given short edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
height = (sqrt(5+2*sqrt(5)))*(Side A/(((sqrt(5)-1)/2)))
h = (sqrt(5+2*sqrt(5)))*(a/(((sqrt(5)-1)/2)))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (sqrt(5+2*sqrt(5)))*(a/(((sqrt(5)-1)/2))) --> (sqrt(5+2*sqrt(5)))*(8/(((sqrt(5)-1)/2)))
Evaluating ... ...
h = 39.8383725581245
STEP 3: Convert Result to Output's Unit
39.8383725581245 Meter --> No Conversion Required
FINAL ANSWER
39.8383725581245 Meter <-- Height
(Calculation completed in 00.016 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Radius of Inscribed Circle
radius_of_inscribed_circle = sqrt((Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)/Semiperimeter Of Triangle ) Go
Area of Triangle when semiperimeter is given
area_of_triangle = sqrt(Semiperimeter Of Triangle *(Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)) Go
side b of a triangle
side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)) Go
Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Radius of circumscribed circle
radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle) Go
Perimeter of Triangle
perimeter_of_triangle = Side A+Side B+Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B Go
Area of a Square when side is given
area = (Side A)^2 Go

## < 11 Other formulas that calculate the same Output

Height of a triangular prism when lateral surface area is given
height = Lateral Surface Area/(Side A+Side B+Side C) Go
Height of an isosceles trapezoid
height = sqrt(Side C^2-0.25*(Side A-Side B)^2) Go
Altitude of an isosceles triangle
height = sqrt((Side A)^2+((Side B)^2/4)) Go
Height of a triangular prism when base and volume are given
height = (2*Volume)/(Base*Length) Go
Height of a trapezoid when area and sum of parallel sides are given
height = (2*Area)/Sum of parallel sides of a trapezoid Go
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
height = 4*Radius of Sphere/3 Go
Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
height = 4*Radius of Sphere/3 Go
Height of Cone circumscribing a sphere such that volume of cone is minimum
height = 4*Radius of Sphere Go
Height of parabolic section that can be cut from a cone for maximum area of parabolic section
height = 0.75*Slant Height Go
Height of a circular cylinder of maximum convex surface area in a given circular cone
height = Height of Cone/2 Go
Height of Largest right circular cylinder that can be inscribed within a cone
height = Height of Cone/3 Go

### Height of pentagonal trapezohedron given short edge Formula

height = (sqrt(5+2*sqrt(5)))*(Side A/(((sqrt(5)-1)/2)))
h = (sqrt(5+2*sqrt(5)))*(a/(((sqrt(5)-1)/2)))

## What is a trapezohedron?

The n-gonal trapezohedron, antidipyramid, antibipyramid, or deltohedron is the dual polyhedron of an n-gonal antiprism. The 2n faces of the n-trapezohedron are congruent and symmetrically staggered; they are called twisted kites. With a higher symmetry, its 2n faces are kites (also called deltoids). The n-gon part of the name does not refer to faces here but to two arrangements of vertices around an axis of symmetry. The dual n-gonal antiprism has two actual n-gon faces. An n-gonal trapezohedron can be dissected into two equal n-gonal pyramids and an n-gonal antiprism.

## How to Calculate Height of pentagonal trapezohedron given short edge?

Height of pentagonal trapezohedron given short edge calculator uses height = (sqrt(5+2*sqrt(5)))*(Side A/(((sqrt(5)-1)/2))) to calculate the Height, The Height of pentagonal trapezohedron given short edge formula is defined as the measure of vertical distance from one top to bottom face of pentagonal trapezohedron, where h = height of pentagonal trapezohedron. Height and is denoted by h symbol.

How to calculate Height of pentagonal trapezohedron given short edge using this online calculator? To use this online calculator for Height of pentagonal trapezohedron given short edge, enter Side A (a) and hit the calculate button. Here is how the Height of pentagonal trapezohedron given short edge calculation can be explained with given input values -> 39.83837 = (sqrt(5+2*sqrt(5)))*(8/(((sqrt(5)-1)/2))).

### FAQ

What is Height of pentagonal trapezohedron given short edge?
The Height of pentagonal trapezohedron given short edge formula is defined as the measure of vertical distance from one top to bottom face of pentagonal trapezohedron, where h = height of pentagonal trapezohedron and is represented as h = (sqrt(5+2*sqrt(5)))*(a/(((sqrt(5)-1)/2))) or height = (sqrt(5+2*sqrt(5)))*(Side A/(((sqrt(5)-1)/2))). Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Height of pentagonal trapezohedron given short edge?
The Height of pentagonal trapezohedron given short edge formula is defined as the measure of vertical distance from one top to bottom face of pentagonal trapezohedron, where h = height of pentagonal trapezohedron is calculated using height = (sqrt(5+2*sqrt(5)))*(Side A/(((sqrt(5)-1)/2))). To calculate Height of pentagonal trapezohedron given short edge, you need Side A (a). With our tool, you need to enter the respective value for Side A 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 Height?
In this formula, Height uses Side A. We can use 11 other way(s) to calculate the same, which is/are as follows -
• height = 4*Radius of Sphere/3
• height = 4*Radius of Sphere
• height = Height of Cone/3
• height = 4*Radius of Sphere/3
• height = Height of Cone/2
• height = 0.75*Slant Height
• height = sqrt(Side C^2-0.25*(Side A-Side B)^2)
• height = (2*Area)/Sum of parallel sides of a trapezoid
• height = sqrt((Side A)^2+((Side B)^2/4))
• height = (2*Volume)/(Base*Length)
• height = Lateral Surface Area/(Side A+Side B+Side C)
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