Height of Truncated Square given Perimeter and Side Calculator

✖The Side of Truncated Square is the first particular type of line segment joining two adjacent vertices in a Truncated Square.ⓘ Side of Truncated Square [S]			+10% -10%
✖The Perimeter of Truncated Square is the closed path that encompasses, surrounds, or outlines the Truncated Square.ⓘ Perimeter of Truncated Square [P]			+10% -10%

✖The Height of Truncated Square is the total distance between the lowest and highest points of the Truncated Square.ⓘ Height of Truncated Square given Perimeter and Side [h]

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Formula

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Height of Truncated Square given Perimeter and Side

Formula

`"h" = "S"+(sqrt(2)*("P"/4-"S"))`

Example

`"13.53553m"="10m"+(sqrt(2)*("50m"/4-"10m"))`

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Height of Truncated Square given Perimeter and Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Truncated Square = Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square))
h = S+(sqrt(2)*(P/4-S))
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

Height of Truncated Square - (Measured in Meter) - The Height of Truncated Square is the total distance between the lowest and highest points of the Truncated Square.
Side of Truncated Square - (Measured in Meter) - The Side of Truncated Square is the first particular type of line segment joining two adjacent vertices in a Truncated Square.
Perimeter of Truncated Square - (Measured in Meter) - The Perimeter of Truncated Square is the closed path that encompasses, surrounds, or outlines the Truncated Square.

STEP 1: Convert Input(s) to Base Unit

Side of Truncated Square: 10 Meter --> 10 Meter No Conversion Required
Perimeter of Truncated Square: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = S+(sqrt(2)*(P/4-S)) --> 10+(sqrt(2)*(50/4-10))

Evaluating ... ...

h = 13.5355339059327

STEP 3: Convert Result to Output's Unit

13.5355339059327 Meter --> No Conversion Required

FINAL ANSWER

13.5355339059327 ≈ 13.53553 Meter <-- Height of Truncated Square

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 6 Height of Truncated Square Calculators

Height of Truncated Square given Perimeter and Missing Length

Go Height of Truncated Square = Perimeter of Truncated Square/4-(sqrt(2)*Missing Length of Truncated Square)+(2*Missing Length of Truncated Square)

Height of Truncated Square given Perimeter and Side

Go Height of Truncated Square = Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square))

Height of Truncated Square given Perimeter, Truncated Side and Missing Length

Go Height of Truncated Square = Perimeter of Truncated Square/4-Truncated Side of Truncated Square+(2*Missing Length of Truncated Square)

Height of Truncated Square given Area and Missing Length

Go Height of Truncated Square = sqrt(Area of Truncated Square+(2*Missing Length of Truncated Square^2))

Height of Truncated Square given Diagonal and Side

Go Height of Truncated Square = sqrt(Diagonal of Truncated Square^2-Side of Truncated Square^2)

Height of Truncated Square

Go Height of Truncated Square = Side of Truncated Square+(2*Missing Length of Truncated Square)

Height of Truncated Square given Perimeter and Side Formula

Height of Truncated Square = Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square))
h = S+(sqrt(2)*(P/4-S))

What is Truncated Square?

A Truncated Square, is a square with the edges equally cut off. This is an octagon with sides of two different lengths, whose opposite sides have the same length each and are parallel. Solar cells often have this shape.

How to Calculate Height of Truncated Square given Perimeter and Side?

Height of Truncated Square given Perimeter and Side calculator uses Height of Truncated Square = Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square)) to calculate the Height of Truncated Square, The Height of Truncated Square given Perimeter and Side formula is defined as the measurement of the Truncated Square from head to foot or from base to top, calculated using perimeter and side. Height of Truncated Square is denoted by h symbol.

How to calculate Height of Truncated Square given Perimeter and Side using this online calculator? To use this online calculator for Height of Truncated Square given Perimeter and Side, enter Side of Truncated Square (S) & Perimeter of Truncated Square (P) and hit the calculate button. Here is how the Height of Truncated Square given Perimeter and Side calculation can be explained with given input values -> 13.53553 = 10+(sqrt(2)*(50/4-10)).

FAQ

What is Height of Truncated Square given Perimeter and Side?

The Height of Truncated Square given Perimeter and Side formula is defined as the measurement of the Truncated Square from head to foot or from base to top, calculated using perimeter and side and is represented as h = S+(sqrt(2)*(P/4-S)) or Height of Truncated Square = Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square)). The Side of Truncated Square is the first particular type of line segment joining two adjacent vertices in a Truncated Square & The Perimeter of Truncated Square is the closed path that encompasses, surrounds, or outlines the Truncated Square.

How to calculate Height of Truncated Square given Perimeter and Side?

The Height of Truncated Square given Perimeter and Side formula is defined as the measurement of the Truncated Square from head to foot or from base to top, calculated using perimeter and side is calculated using Height of Truncated Square = Side of Truncated Square+(sqrt(2)*(Perimeter of Truncated Square/4-Side of Truncated Square)). To calculate Height of Truncated Square given Perimeter and Side, you need Side of Truncated Square (S) & Perimeter of Truncated Square (P). With our tool, you need to enter the respective value for Side of Truncated Square & Perimeter of Truncated Square 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 of Truncated Square?

In this formula, Height of Truncated Square uses Side of Truncated Square & Perimeter of Truncated Square. We can use 5 other way(s) to calculate the same, which is/are as follows -

Height of Truncated Square = Side of Truncated Square+(2*Missing Length of Truncated Square)
Height of Truncated Square = Perimeter of Truncated Square/4-(sqrt(2)*Missing Length of Truncated Square)+(2*Missing Length of Truncated Square)
Height of Truncated Square = Perimeter of Truncated Square/4-Truncated Side of Truncated Square+(2*Missing Length of Truncated Square)
Height of Truncated Square = sqrt(Area of Truncated Square+(2*Missing Length of Truncated Square^2))
Height of Truncated Square = sqrt(Diagonal of Truncated Square^2-Side of Truncated Square^2)

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