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Long rectangle side of Cut Rectangle given all other sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
long_side_polygon = (sqrt((Slant side^2)-((Short side of Polygon-Short cut side)^2)))+Long cut side
SLong_Polygon = (sqrt((SSlant^2)-((SShort_Polygon-SCut_Short)^2)))+SCut_Long
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Slant side - Slant side is the distance measured along a lateral face from the base to the apex. (Measured in Meter)
Short side of Polygon - Short side of Polygon is a particular type of short line segment joining two vertices in a polygon. (Measured in Meter)
Short cut side - Short cut side is a particular type of short cut line segment joining two vertices in a polygon or shape or object. (Measured in Meter)
Long cut side - Long cut side is a particular type of long cut line segment joining two vertices in a polygon or shape or object. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Slant side: 6 Meter --> 6 Meter No Conversion Required
Short side of Polygon: 9 Meter --> 9 Meter No Conversion Required
Short cut side: 6 Meter --> 6 Meter No Conversion Required
Long cut side: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SLong_Polygon = (sqrt((SSlant^2)-((SShort_Polygon-SCut_Short)^2)))+SCut_Long --> (sqrt((6^2)-((9-6)^2)))+7
Evaluating ... ...
SLong_Polygon = 12.1961524227066
STEP 3: Convert Result to Output's Unit
12.1961524227066 Meter --> No Conversion Required
FINAL ANSWER
12.1961524227066 Meter <-- Long side of Polygon
(Calculation completed in 00.051 seconds)

10+ Cut Rectangle Calculators

Area of Cut Rectangle missing long rectangle side
area_polygon = ((Perimeter of polygon-(Short side of Polygon+Long cut side+Short cut side+Slant side))*Short side of Polygon)-((((Perimeter of polygon-(Short side of Polygon+Long cut side+Short cut side+Slant side))-Long cut side)*(Short side of Polygon-Short cut side))/2) Go
Area of Cut Rectangle missing short rectangle side
area_polygon = (Long side of Polygon*(Perimeter of polygon-(Long side of Polygon+Long cut side+Short cut side+Slant side)))-(((Long side of Polygon-Long cut side)*((Perimeter of polygon-(Long side of Polygon+Long cut side+Short cut side+Slant side))-Short cut side))/2) Go
Area of Cut Rectangle
area_polygon = (Long side of Polygon*Short side of Polygon)-(((Long side of Polygon-Long cut side)*(Short side of Polygon-Short cut side))/2) Go
Slant side of Cut Rectangle given perimeter and other sides
slant_side = Perimeter of polygon-(Long side of Polygon+Short side of Polygon+Long cut side+Short cut side) Go
Short cut side of Cut Rectangle
short_cut_side = Perimeter of polygon-(Long side of Polygon+Short side of Polygon+Long cut side+Slant side) Go
Long cut side of Cut Rectangle
long_cut_side = Perimeter of polygon-(Long side of Polygon+Short side of Polygon+Short cut side+Slant side) Go
Short rectangle side of Cut Rectangle
short_side_polygon = Perimeter of polygon-(Long side of Polygon+Long cut side+Short cut side+Slant side) Go
Long rectangle side of Cut Rectangle
long_side_polygon = Perimeter of polygon-(Short side of Polygon+Long cut side+Short cut side+Slant side) Go
Slant side of Cut Rectangle
slant_side = sqrt(((Long side of Polygon-Long cut side)^2)+((Short side of Polygon-Short cut side)^2)) Go
Perimeter of Cut Rectangle
perimeter_polygon = Long side of Polygon+Short side of Polygon+Long cut side+Short cut side+Slant side Go

Long rectangle side of Cut Rectangle given all other sides Formula

long_side_polygon = (sqrt((Slant side^2)-((Short side of Polygon-Short cut side)^2)))+Long cut side
SLong_Polygon = (sqrt((SSlant^2)-((SShort_Polygon-SCut_Short)^2)))+SCut_Long

What is Cut Rectangle?

Cut Rectangle is a rectangle with one vertex cut off. This is a convex pentagon with three adjacent right angles. The cut off vertex has the shape of a right triangle.

How to Calculate Long rectangle side of Cut Rectangle given all other sides?

Long rectangle side of Cut Rectangle given all other sides calculator uses long_side_polygon = (sqrt((Slant side^2)-((Short side of Polygon-Short cut side)^2)))+Long cut side to calculate the Long side of Polygon, The Long rectangle side of Cut Rectangle given all other sides formula is defined as a particular type of long line segment joining two vertices in cut rectangle. Long side of Polygon is denoted by SLong_Polygon symbol.

How to calculate Long rectangle side of Cut Rectangle given all other sides using this online calculator? To use this online calculator for Long rectangle side of Cut Rectangle given all other sides, enter Slant side (SSlant), Short side of Polygon (SShort_Polygon), Short cut side (SCut_Short) & Long cut side (SCut_Long) and hit the calculate button. Here is how the Long rectangle side of Cut Rectangle given all other sides calculation can be explained with given input values -> 12.19615 = (sqrt((6^2)-((9-6)^2)))+7.

FAQ

What is Long rectangle side of Cut Rectangle given all other sides?
The Long rectangle side of Cut Rectangle given all other sides formula is defined as a particular type of long line segment joining two vertices in cut rectangle and is represented as SLong_Polygon = (sqrt((SSlant^2)-((SShort_Polygon-SCut_Short)^2)))+SCut_Long or long_side_polygon = (sqrt((Slant side^2)-((Short side of Polygon-Short cut side)^2)))+Long cut side. Slant side is the distance measured along a lateral face from the base to the apex, Short side of Polygon is a particular type of short line segment joining two vertices in a polygon, Short cut side is a particular type of short cut line segment joining two vertices in a polygon or shape or object & Long cut side is a particular type of long cut line segment joining two vertices in a polygon or shape or object.
How to calculate Long rectangle side of Cut Rectangle given all other sides?
The Long rectangle side of Cut Rectangle given all other sides formula is defined as a particular type of long line segment joining two vertices in cut rectangle is calculated using long_side_polygon = (sqrt((Slant side^2)-((Short side of Polygon-Short cut side)^2)))+Long cut side. To calculate Long rectangle side of Cut Rectangle given all other sides, you need Slant side (SSlant), Short side of Polygon (SShort_Polygon), Short cut side (SCut_Short) & Long cut side (SCut_Long). With our tool, you need to enter the respective value for Slant side, Short side of Polygon, Short cut side & Long cut side 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 Long side of Polygon?
In this formula, Long side of Polygon uses Slant side, Short side of Polygon, Short cut side & Long cut side. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • slant_side = sqrt(((Long side of Polygon-Long cut side)^2)+((Short side of Polygon-Short cut side)^2))
  • perimeter_polygon = Long side of Polygon+Short side of Polygon+Long cut side+Short cut side+Slant side
  • area_polygon = (Long side of Polygon*Short side of Polygon)-(((Long side of Polygon-Long cut side)*(Short side of Polygon-Short cut side))/2)
  • long_side_polygon = Perimeter of polygon-(Short side of Polygon+Long cut side+Short cut side+Slant side)
  • short_side_polygon = Perimeter of polygon-(Long side of Polygon+Long cut side+Short cut side+Slant side)
  • long_cut_side = Perimeter of polygon-(Long side of Polygon+Short side of Polygon+Short cut side+Slant side)
  • short_cut_side = Perimeter of polygon-(Long side of Polygon+Short side of Polygon+Long cut side+Slant side)
  • slant_side = Perimeter of polygon-(Long side of Polygon+Short side of Polygon+Long cut side+Short cut side)
  • area_polygon = ((Perimeter of polygon-(Short side of Polygon+Long cut side+Short cut side+Slant side))*Short side of Polygon)-((((Perimeter of polygon-(Short side of Polygon+Long cut side+Short cut side+Slant side))-Long cut side)*(Short side of Polygon-Short cut side))/2)
  • area_polygon = (Long side of Polygon*(Perimeter of polygon-(Long side of Polygon+Long cut side+Short cut side+Slant side)))-(((Long side of Polygon-Long cut side)*((Perimeter of polygon-(Long side of Polygon+Long cut side+Short cut side+Slant side))-Short cut side))/2)
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