Short Edge of Parallelogram given Diagonals and Long Edge Calculator

✖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]			+10% -10%
✖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 given Diagonals and Long Edge [e_Short]

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Short Edge of Parallelogram given Diagonals and Long Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Parallelogram: 18 Meter --> 18 Meter No Conversion Required
Short Diagonal of Parallelogram: 9 Meter --> 9 Meter No Conversion Required
Long Edge of Parallelogram: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_Short = sqrt((d_Long^2+d_Short^2-(2*e_Long^2))/2) --> sqrt((18^2+9^2-(2*12^2))/2)

Evaluating ... ...

e_Short = 7.64852927038918

STEP 3: Convert Result to Output's Unit

7.64852927038918 Meter --> No Conversion Required

FINAL ANSWER

7.64852927038918 ≈ 7.648529 Meter <-- Short Edge of Parallelogram

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

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< Short Edge of Parallelogram Calculators

Short Edge of Parallelogram given Diagonals and Obtuse Angle between Diagonals

LaTeX Go Short Edge of Parallelogram = 1/2*sqrt(Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2+(2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*cos(Obtuse Angle between Diagonals of Parallelogram)))

Short Edge of Parallelogram given Diagonals and Long Edge

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

Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides

LaTeX Go Short Edge of Parallelogram = Height to Long Edge of Parallelogram/(sin(Acute Angle of Parallelogram))

Short Edge of Parallelogram

LaTeX Go Short Edge of Parallelogram = Area of Parallelogram/Height to Short Edge of Parallelogram

Short Edge of Parallelogram given Diagonals and Long Edge Formula

LaTeX Go

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

What is a Parallelogram?

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 Edge of Parallelogram given Diagonals and Long Edge?

Short Edge of Parallelogram given Diagonals and Long Edge calculator uses Short Edge of Parallelogram = sqrt((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2-(2*Long Edge of Parallelogram^2))/2) to calculate the Short Edge of Parallelogram, Short Edge of Parallelogram given Diagonals and Long Edge formula is defined as the length of the shortest pair of parallel edges in a Parallelogram, and calculated using diagonals and long edge of the Parallelogram. Short Edge of Parallelogram is denoted by e_Short symbol.

How to calculate Short Edge of Parallelogram given Diagonals and Long Edge using this online calculator? To use this online calculator for Short Edge of Parallelogram given Diagonals and Long Edge, enter Long Diagonal of Parallelogram (d_Long), Short Diagonal of Parallelogram (d_Short) & Long Edge of Parallelogram (e_Long) and hit the calculate button. Here is how the Short Edge of Parallelogram given Diagonals and Long Edge calculation can be explained with given input values -> 7.648529 = sqrt((18^2+9^2-(2*12^2))/2).

FAQ

What is Short Edge of Parallelogram given Diagonals and Long Edge?

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

How to calculate Short Edge of Parallelogram given Diagonals and Long Edge?

Short Edge of Parallelogram given Diagonals and Long Edge formula is defined as the length of the shortest pair of parallel edges in a Parallelogram, and calculated using diagonals and long edge of the Parallelogram is calculated using Short Edge of Parallelogram = sqrt((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2-(2*Long Edge of Parallelogram^2))/2). To calculate Short Edge of Parallelogram given Diagonals and Long Edge, you need Long Diagonal of Parallelogram (d_Long), Short Diagonal of Parallelogram (d_Short) & Long Edge of Parallelogram (e_Long). With our tool, you need to enter the respective value for Long Diagonal of Parallelogram, Short Diagonal of Parallelogram & Long Edge 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 Edge of Parallelogram?

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

Short Edge of Parallelogram = Height to Long Edge of Parallelogram/(sin(Acute Angle of Parallelogram))
Short Edge of Parallelogram = Area of Parallelogram/Height to Short Edge of Parallelogram
Short Edge of Parallelogram = 1/2*sqrt(Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2+(2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*cos(Obtuse Angle between Diagonals of Parallelogram)))

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