Short 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%
✖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]			+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]

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Short Diagonal of Parallelogram Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.

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
Long Diagonal of Parallelogram: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Short = sqrt((2*e_Long^2)+(2*e_Short^2)-d_Long^2) --> sqrt((2*12^2)+(2*7^2)-18^2)

Evaluating ... ...

d_Short = 7.87400787401181

STEP 3: Convert Result to Output's Unit

7.87400787401181 Meter --> No Conversion Required

FINAL ANSWER

7.87400787401181 ≈ 7.874008 Meter <-- Short Diagonal of Parallelogram

(Calculation completed in 00.004 seconds)

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< Short Diagonal of Parallelogram Calculators

Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides

LaTeX Go Short 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)))

Short Diagonal of Parallelogram given Sides and Acute Angle between Sides

LaTeX Go Short 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)))

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

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

Short Diagonal of Parallelogram

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

Short Diagonal of Parallelogram Formula

LaTeX Go

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

What is Diagonal of a Parallelogram (Diagonal 2)?

A Parallelogram is a special type of quadrilateral that has two pairs of opposite and parallel sides. Rectangles are a special type of Parallelogram. The angles of Parallelogram are also pairwise equal and opposite - one pair of equal and opposite acute angle and one pair of equal and opposite obtuse angle angle.

How to Calculate Short Diagonal of Parallelogram?

Short Diagonal of Parallelogram calculator uses Short Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Long Diagonal of Parallelogram^2) to calculate the Short Diagonal of Parallelogram, The Short Diagonal of Parallelogram formula is defined as the length of the line joining the pair of obtuse angle corners of a Parallelogram. Short Diagonal of Parallelogram is denoted by d_Short symbol.

How to calculate Short Diagonal of Parallelogram using this online calculator? To use this online calculator for Short Diagonal of Parallelogram, enter Long Edge of Parallelogram (e_Long), Short Edge of Parallelogram (e_Short) & Long Diagonal of Parallelogram (d_Long) and hit the calculate button. Here is how the Short Diagonal of Parallelogram calculation can be explained with given input values -> 7.874008 = sqrt((2*12^2)+(2*7^2)-18^2).

FAQ

What is Short Diagonal of Parallelogram?

The Short Diagonal of Parallelogram formula is defined as the length of the line joining the pair of obtuse angle corners of a Parallelogram and is represented as d_Short = sqrt((2*e_Long^2)+(2*e_Short^2)-d_Long^2) or Short Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Long 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 & Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.

How to calculate Short Diagonal of Parallelogram?

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

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

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

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