Spike Height of Polygram Calculator

✖The Edge Length of Polygram is the length of any edge of the Polygram shape, from one end to other end.ⓘ Edge Length of Polygram [l_e]			+10% -10%
✖The Base Length of Polygram is the length of the unequal side of the isosceles triangle which forms as the spikes of the Polygram or the side length of the polygon of Polygram.ⓘ Base Length of Polygram [l_Base]			+10% -10%

✖The Spike Height of Polygram is the height of the isosceles triangles with respect to the unequal side, which are attached to the polygon of the Polygram as the spikes.ⓘ Spike Height of Polygram [h_Spike]

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Formula

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Spike Height of Polygram

Formula

`"h"_{"Spike"} = sqrt(((4*"l"_{"e"}^2)-"l"_{"Base"}^2)/4)`

Example

`"4m"=sqrt(((4*("5m")^2)-("6m")^2)/4)`

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Spike Height of Polygram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spike Height of Polygram = sqrt(((4*Edge Length of Polygram^2)-Base Length of Polygram^2)/4)
h_Spike = sqrt(((4*l_e^2)-l_Base^2)/4)
This formula uses 1 Functions, 3 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

Spike Height of Polygram - (Measured in Meter) - The Spike Height of Polygram is the height of the isosceles triangles with respect to the unequal side, which are attached to the polygon of the Polygram as the spikes.
Edge Length of Polygram - (Measured in Meter) - The Edge Length of Polygram is the length of any edge of the Polygram shape, from one end to other end.
Base Length of Polygram - (Measured in Meter) - The Base Length of Polygram is the length of the unequal side of the isosceles triangle which forms as the spikes of the Polygram or the side length of the polygon of Polygram.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Polygram: 5 Meter --> 5 Meter No Conversion Required
Base Length of Polygram: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Spike = sqrt(((4*l_e^2)-l_Base^2)/4) --> sqrt(((4*5^2)-6^2)/4)

Evaluating ... ...

h_Spike = 4

STEP 3: Convert Result to Output's Unit

4 Meter --> No Conversion Required

FINAL ANSWER

4 Meter <-- Spike Height of Polygram

(Calculation completed in 00.004 seconds)

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Created by Katakam Devaharsha Siva Sai

Sri Sathya Sai Institute of Higher Learning (SSSIHL), Prasanthi Nilayam

Katakam Devaharsha Siva Sai has created this Calculator and 2 more calculators!

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IIT Madras (IIT Madras), Chennai

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< 2 Spike Height of Polygram Calculators

Spike Height of Polygram given Area

Go Spike Height of Polygram = ((2*Area of Polygram)/(Number of Spikes in Polygram*Base Length of Polygram))-(Base Length of Polygram/(2*tan(pi/Number of Spikes in Polygram)))

Spike Height of Polygram

Go Spike Height of Polygram = sqrt(((4*Edge Length of Polygram^2)-Base Length of Polygram^2)/4)

Spike Height of Polygram Formula

Spike Height of Polygram = sqrt(((4*Edge Length of Polygram^2)-Base Length of Polygram^2)/4)
h_Spike = sqrt(((4*l_e^2)-l_Base^2)/4)

What is Polygram ?

→ A Polygram is a regular n-sided polygon with identical isosceles triangles (also known as SPIKES) attached to each edge.
→ It looks like a n-pointed star.
→ For a n-pointed star, there will be n-spikes.
→ The Spike (Isosceles Triangle) is an important part of the polygram and it is defined using 4 parameters. They are :
1) The Base Length of the Triangle (a.k.a Base Length of the Polygram)
2) Length of the equal side of the triangle (a.k.a Edge Length of the Polygram)
3) Angle between the two equal sides of the isosceles triangle (a.k.a Inner Angle angle of the Polygram)
4) Height of the triangle (a.k.a Spike Height)

Apart from these there are other important parameters that define the Polygram. They are:
1) Outer Angle : The angle between two adjacent isosceles triangles.
2) Chord Length : The distance between two peaks of the adjacent Spikes of the Polygram.
3) Perimeter : The sum of lengths of all the edges of the polygram.
4) Area : The amount of space occupied by the polygram.

How to Calculate Spike Height of Polygram?

Spike Height of Polygram calculator uses Spike Height of Polygram = sqrt(((4*Edge Length of Polygram^2)-Base Length of Polygram^2)/4) to calculate the Spike Height of Polygram, The Spike Height of Polygram formula is defined as the height of the isosceles triangles with respect to the unequal side, which are attached to the polygon of the Polygram as the spikes. Spike Height of Polygram is denoted by h_Spike symbol.

How to calculate Spike Height of Polygram using this online calculator? To use this online calculator for Spike Height of Polygram, enter Edge Length of Polygram (l_e) & Base Length of Polygram (l_Base) and hit the calculate button. Here is how the Spike Height of Polygram calculation can be explained with given input values -> 4 = sqrt(((4*5^2)-6^2)/4).

FAQ

What is Spike Height of Polygram?

The Spike Height of Polygram formula is defined as the height of the isosceles triangles with respect to the unequal side, which are attached to the polygon of the Polygram as the spikes and is represented as h_Spike = sqrt(((4*l_e^2)-l_Base^2)/4) or Spike Height of Polygram = sqrt(((4*Edge Length of Polygram^2)-Base Length of Polygram^2)/4). The Edge Length of Polygram is the length of any edge of the Polygram shape, from one end to other end & The Base Length of Polygram is the length of the unequal side of the isosceles triangle which forms as the spikes of the Polygram or the side length of the polygon of Polygram.

How to calculate Spike Height of Polygram?

The Spike Height of Polygram formula is defined as the height of the isosceles triangles with respect to the unequal side, which are attached to the polygon of the Polygram as the spikes is calculated using Spike Height of Polygram = sqrt(((4*Edge Length of Polygram^2)-Base Length of Polygram^2)/4). To calculate Spike Height of Polygram, you need Edge Length of Polygram (l_e) & Base Length of Polygram (l_Base). With our tool, you need to enter the respective value for Edge Length of Polygram & Base Length of Polygram 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 Spike Height of Polygram?

In this formula, Spike Height of Polygram uses Edge Length of Polygram & Base Length of Polygram. We can use 1 other way(s) to calculate the same, which is/are as follows -

Spike Height of Polygram = ((2*Area of Polygram)/(Number of Spikes in Polygram*Base Length of Polygram))-(Base Length of Polygram/(2*tan(pi/Number of Spikes in Polygram)))

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