Long Diagonal of Parallelogram Calculator

✖Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.ⓘ Long Edge of Parallelogram [e_Long]			+10% -10%
✖Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram.ⓘ Short Edge of Parallelogram [e_Short]			+10% -10%
✖Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.ⓘ Short Diagonal of Parallelogram [d_Short]			+10% -10%

✖Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.ⓘ Long Diagonal of Parallelogram [d_Long]

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Long Diagonal of Parallelogram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Short Diagonal of Parallelogram^2)
d_Long = sqrt((2*e_Long^2)+(2*e_Short^2)-d_Short^2)
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

Long Diagonal of Parallelogram - (Measured in Meter) - Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.
Long Edge of Parallelogram - (Measured in Meter) - Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.
Short Edge of Parallelogram - (Measured in Meter) - Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram.
Short Diagonal of Parallelogram - (Measured in Meter) - Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.

STEP 1: Convert Input(s) to Base Unit

Long Edge of Parallelogram: 12 Meter --> 12 Meter No Conversion Required
Short Edge of Parallelogram: 7 Meter --> 7 Meter No Conversion Required
Short Diagonal of Parallelogram: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = sqrt((2*e_Long^2)+(2*e_Short^2)-d_Short^2) --> sqrt((2*12^2)+(2*7^2)-9^2)

Evaluating ... ...

d_Long = 17.464249196573

STEP 3: Convert Result to Output's Unit

17.464249196573 Meter --> No Conversion Required

FINAL ANSWER

17.464249196573 ≈ 17.46425 Meter <-- Long Diagonal of Parallelogram

(Calculation completed in 00.020 seconds)

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< Long Diagonal of Parallelogram Calculators

Long Diagonal of Parallelogram given Sides and Obtuse Angle between sides

LaTeX Go Long Diagonal of Parallelogram = sqrt(Long Edge of Parallelogram^2+Short Edge of Parallelogram^2-(2*Long Edge of Parallelogram*Short Edge of Parallelogram*cos(Obtuse Angle of Parallelogram)))

Long Diagonal of Parallelogram given Sides and Acute Angle between Sides

LaTeX Go Long Diagonal of Parallelogram = sqrt(Long Edge of Parallelogram^2+Short Edge of Parallelogram^2+(2*Long Edge of Parallelogram*Short Edge of Parallelogram*cos(Acute Angle of Parallelogram)))

Long Diagonal of Parallelogram given Area, Short Diagonal and Acute Angle between Diagonals

LaTeX Go Long Diagonal of Parallelogram = (2*Area of Parallelogram)/(Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram))

Long Diagonal of Parallelogram

LaTeX Go Long Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Short Diagonal of Parallelogram^2)

Long Diagonal of Parallelogram Formula

LaTeX Go

Long Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Short Diagonal of Parallelogram^2)
d_Long = sqrt((2*e_Long^2)+(2*e_Short^2)-d_Short^2)

What is Diagonal of a Parallelogram (Diagonal 1)?

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonal of a parallelogram (Diagonal 1) is one of the segments which connect the opposite corners of the figure.

How to Calculate Long Diagonal of Parallelogram?

Long Diagonal of Parallelogram calculator uses Long Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Short Diagonal of Parallelogram^2) to calculate the Long Diagonal of Parallelogram, Long Diagonal of Parallelogram given sides and short diagonal formula is defined as the length of the line joining the pair of acute angle corners of a Parallelogram. Long Diagonal of Parallelogram is denoted by d_Long symbol.

How to calculate Long Diagonal of Parallelogram using this online calculator? To use this online calculator for Long Diagonal of Parallelogram, enter Long Edge of Parallelogram (e_Long), Short Edge of Parallelogram (e_Short) & Short Diagonal of Parallelogram (d_Short) and hit the calculate button. Here is how the Long Diagonal of Parallelogram calculation can be explained with given input values -> 17.46425 = sqrt((2*12^2)+(2*7^2)-9^2).

FAQ

What is Long Diagonal of Parallelogram?

Long Diagonal of Parallelogram given sides and short diagonal formula is defined as the length of the line joining the pair of acute angle corners of a Parallelogram and is represented as d_Long = sqrt((2*e_Long^2)+(2*e_Short^2)-d_Short^2) or Long Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Short Diagonal of Parallelogram^2). Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram, Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram & Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.

How to calculate Long Diagonal of Parallelogram?

Long Diagonal of Parallelogram given sides and short diagonal formula is defined as the length of the line joining the pair of acute angle corners of a Parallelogram is calculated using Long Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Short Diagonal of Parallelogram^2). To calculate Long Diagonal of Parallelogram, you need Long Edge of Parallelogram (e_Long), Short Edge of Parallelogram (e_Short) & Short Diagonal of Parallelogram (d_Short). With our tool, you need to enter the respective value for Long Edge of Parallelogram, Short Edge of Parallelogram & Short Diagonal of Parallelogram 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 Diagonal of Parallelogram?

In this formula, Long Diagonal of Parallelogram uses Long Edge of Parallelogram, Short Edge of Parallelogram & Short Diagonal of Parallelogram. We can use 3 other way(s) to calculate the same, which is/are as follows -

Long Diagonal of Parallelogram = (2*Area of Parallelogram)/(Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram))
Long Diagonal of Parallelogram = sqrt(Long Edge of Parallelogram^2+Short Edge of Parallelogram^2+(2*Long Edge of Parallelogram*Short Edge of Parallelogram*cos(Acute Angle of Parallelogram)))
Long Diagonal of Parallelogram = sqrt(Long Edge of Parallelogram^2+Short Edge of Parallelogram^2-(2*Long Edge of Parallelogram*Short Edge of Parallelogram*cos(Obtuse Angle of Parallelogram)))

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