Length of Truncated Square given Diagonal, Height and Missing Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Truncated Square = sqrt(2)*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+Missing Length of Truncated Square)
l = sqrt(2)*(sqrt(d^2-h^2)+lMissing)
This formula uses 1 Functions, 4 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
Length of Truncated Square - (Measured in Meter) - Length of Truncated Square is the measurement or extent of truncated square from end to end.
Diagonal of Truncated Square - (Measured in Meter) - Diagonal of Truncated Square is a line segment joining two opposite vertices of a Truncated Square.
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.
Missing Length of Truncated Square - (Measured in Meter) - The Missing Length of Truncated Square is the measurement or extent of the missing edges of a Truncated Square.
STEP 1: Convert Input(s) to Base Unit
Diagonal of Truncated Square: 18 Meter --> 18 Meter No Conversion Required
Height of Truncated Square: 14 Meter --> 14 Meter No Conversion Required
Missing Length of Truncated Square: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = sqrt(2)*(sqrt(d^2-h^2)+lMissing) --> sqrt(2)*(sqrt(18^2-14^2)+2)
Evaluating ... ...
l = 18.8284271247462
STEP 3: Convert Result to Output's Unit
18.8284271247462 Meter --> No Conversion Required
FINAL ANSWER
18.8284271247462 18.82843 Meter <-- Length of Truncated Square
(Calculation completed in 00.020 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
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7 Length of Truncated Square Calculators

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

Length of Truncated Square given Diagonal, Height and Missing Length Formula

Length of Truncated Square = sqrt(2)*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+Missing Length of Truncated Square)
l = sqrt(2)*(sqrt(d^2-h^2)+lMissing)

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 Length of Truncated Square given Diagonal, Height and Missing Length?

Length of Truncated Square given Diagonal, Height and Missing Length calculator uses Length of Truncated Square = sqrt(2)*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+Missing Length of Truncated Square) to calculate the Length of Truncated Square, The Length of Truncated Square given Diagonal, Height and Missing Length formula is defined as the measurement or extent of Truncated Square from end to end, calculated using its diagonal, height and missing length. Length of Truncated Square is denoted by l symbol.

How to calculate Length of Truncated Square given Diagonal, Height and Missing Length using this online calculator? To use this online calculator for Length of Truncated Square given Diagonal, Height and Missing Length, enter Diagonal of Truncated Square (d), Height of Truncated Square (h) & Missing Length of Truncated Square (lMissing) and hit the calculate button. Here is how the Length of Truncated Square given Diagonal, Height and Missing Length calculation can be explained with given input values -> 18.82843 = sqrt(2)*(sqrt(18^2-14^2)+2).

FAQ

What is Length of Truncated Square given Diagonal, Height and Missing Length?
The Length of Truncated Square given Diagonal, Height and Missing Length formula is defined as the measurement or extent of Truncated Square from end to end, calculated using its diagonal, height and missing length and is represented as l = sqrt(2)*(sqrt(d^2-h^2)+lMissing) or Length of Truncated Square = sqrt(2)*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+Missing Length of Truncated Square). Diagonal of Truncated Square is a line segment joining two opposite vertices of a Truncated Square, The Height of Truncated Square is the total distance between the lowest and highest points of the Truncated Square & The Missing Length of Truncated Square is the measurement or extent of the missing edges of a Truncated Square.
How to calculate Length of Truncated Square given Diagonal, Height and Missing Length?
The Length of Truncated Square given Diagonal, Height and Missing Length formula is defined as the measurement or extent of Truncated Square from end to end, calculated using its diagonal, height and missing length is calculated using Length of Truncated Square = sqrt(2)*(sqrt(Diagonal of Truncated Square^2-Height of Truncated Square^2)+Missing Length of Truncated Square). To calculate Length of Truncated Square given Diagonal, Height and Missing Length, you need Diagonal of Truncated Square (d), Height of Truncated Square (h) & Missing Length of Truncated Square (lMissing). With our tool, you need to enter the respective value for Diagonal of Truncated Square, Height of Truncated Square & Missing Length 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 Length of Truncated Square?
In this formula, Length of Truncated Square uses Diagonal of Truncated Square, Height of Truncated Square & Missing Length of Truncated Square. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Length of Truncated Square = sqrt(2)*(Side of Truncated Square+Missing Length of Truncated Square)
  • Length of Truncated Square = sqrt(2)*(Perimeter of Truncated Square/4-Truncated Side of Truncated Square+Missing Length of Truncated Square)
  • Length of Truncated Square = sqrt(2)*(sqrt(Area of Truncated Square+(2*Missing Length of Truncated Square^2))-Missing Length of Truncated Square)
  • Length of Truncated Square = sqrt(2)*(Side of Truncated Square+(sqrt(Diagonal of Truncated Square^2-Side of Truncated Square^2)-Side of Truncated Square)/2)
  • Length of Truncated Square = sqrt(2)*(Perimeter of Truncated Square/4-(sqrt(2)*Missing Length of Truncated Square)+Missing Length of Truncated Square)
  • Length of Truncated Square = sqrt(2)*(Side of Truncated Square+(Perimeter of Truncated Square/4-Side of Truncated Square)/sqrt(2))
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