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

✖Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram.ⓘ Height to Long Edge of Parallelogram [h_Long]			+10% -10%
✖Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degree in a Parallelogram.ⓘ Acute Angle of Parallelogram [∠_Acute]			+10% -10%

✖Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram.ⓘ Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides [e_Short]

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Formula

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

Formula

`"e"_{"Short"} = "h"_{"Long"}/(sin("∠"_{"Acute"}))`

Example

`"7.071068m"="5m"/(sin("45°"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Short Edge of Parallelogram = Height to Long Edge of Parallelogram/(sin(Acute Angle of Parallelogram))
e_Short = h_Long/(sin(∠_Acute))
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

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.
Height to Long Edge of Parallelogram - (Measured in Meter) - Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram.
Acute Angle of Parallelogram - (Measured in Radian) - Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degree in a Parallelogram.

STEP 1: Convert Input(s) to Base Unit

Height to Long Edge of Parallelogram: 5 Meter --> 5 Meter No Conversion Required
Acute Angle of Parallelogram: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_Short = h_Long/(sin(∠_Acute)) --> 5/(sin(0.785398163397301))

Evaluating ... ...

e_Short = 7.07106781186652

STEP 3: Convert Result to Output's Unit

7.07106781186652 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186652 ≈ 7.071068 Meter <-- Short Edge of Parallelogram

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Parallelogram » Side of Parallelogram » Short Edge of Parallelogram » Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 5 Short Edge of Parallelogram Calculators

Short Edge of Parallelogram given Diagonals and Obtuse Angle between Diagonals

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 Acute Angle between Diagonals

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(Acute Angle between Diagonals of Parallelogram)))

Short Edge of Parallelogram given Diagonals and Long Edge

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

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

Short Edge of Parallelogram

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

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

Short Edge of Parallelogram = Height to Long Edge of Parallelogram/(sin(Acute Angle of Parallelogram))
e_Short = h_Long/(sin(∠_Acute))

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 Height to Long Edge and Acute Angle between Sides?

Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides calculator uses Short Edge of Parallelogram = Height to Long Edge of Parallelogram/(sin(Acute Angle of Parallelogram)) to calculate the Short Edge of Parallelogram, Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides formula is defined as the length of the shortest pair of parallel edges in a Parallelogram, and calculated using height to long edge and acute angle between sides of the Parallelogram. Short Edge of Parallelogram is denoted by e_Short symbol.

How to calculate Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides using this online calculator? To use this online calculator for Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides, enter Height to Long Edge of Parallelogram (h_Long) & Acute Angle of Parallelogram (∠_Acute) and hit the calculate button. Here is how the Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides calculation can be explained with given input values -> 7.071068 = 5/(sin(0.785398163397301)).

FAQ

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

Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides formula is defined as the length of the shortest pair of parallel edges in a Parallelogram, and calculated using height to long edge and acute angle between sides of the Parallelogram and is represented as e_Short = h_Long/(sin(∠_Acute)) or Short Edge of Parallelogram = Height to Long Edge of Parallelogram/(sin(Acute Angle of Parallelogram)). Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram & Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degree in a Parallelogram.

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

Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides formula is defined as the length of the shortest pair of parallel edges in a Parallelogram, and calculated using height to long edge and acute angle between sides of the Parallelogram is calculated using Short Edge of Parallelogram = Height to Long Edge of Parallelogram/(sin(Acute Angle of Parallelogram)). To calculate Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides, you need Height to Long Edge of Parallelogram (h_Long) & Acute Angle of Parallelogram (∠_Acute). With our tool, you need to enter the respective value for Height to Long Edge of Parallelogram & Acute Angle 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 Height to Long Edge of Parallelogram & Acute Angle of Parallelogram. We can use 4 other way(s) to calculate the same, which is/are as follows -

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 = 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)))
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(Acute Angle between Diagonals of Parallelogram)))

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