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

✖Height to Short Edge of Parallelogram is the perpendicular distance between the shortest pair of parallel edges of a Parallelogram.ⓘ Height to Short Edge of Parallelogram [h_Short]			+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%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Long Edge of Parallelogram - (Measured in Meter) - Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.
Height to Short Edge of Parallelogram - (Measured in Meter) - Height to Short Edge of Parallelogram is the perpendicular distance between the shortest 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 Short Edge of Parallelogram: 8 Meter --> 8 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_Long = h_Short/(sin(∠_Acute)) --> 8/(sin(0.785398163397301))

Evaluating ... ...

e_Long = 11.3137084989864

STEP 3: Convert Result to Output's Unit

11.3137084989864 Meter --> No Conversion Required

FINAL ANSWER

11.3137084989864 ≈ 11.31371 Meter <-- Long Edge of Parallelogram

(Calculation completed in 00.008 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Long Edge of Parallelogram Calculators

Long Edge of Parallelogram given Diagonals and Acute Angle between Diagonals

LaTeX Go Long 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)))

Long Edge of Parallelogram given Diagonals and Short Edge

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

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

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

Long Edge of Parallelogram

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

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

LaTeX Go

Long Edge of Parallelogram = Height to Short Edge of Parallelogram/(sin(Acute Angle of Parallelogram))
e_Long = h_Short/(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 Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides?

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

How to calculate Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides using this online calculator? To use this online calculator for Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides, enter Height to Short Edge of Parallelogram (h_Short) & Acute Angle of Parallelogram (∠_Acute) and hit the calculate button. Here is how the Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides calculation can be explained with given input values -> 11.31371 = 8/(sin(0.785398163397301)).

FAQ

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

Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides formula is defined as the length of the longest pair of parallel sides in a Parallelogram, and calculated using height to short edge and acute angle between sides of the Parallelogram and is represented as e_Long = h_Short/(sin(∠_Acute)) or Long Edge of Parallelogram = Height to Short Edge of Parallelogram/(sin(Acute Angle of Parallelogram)). Height to Short Edge of Parallelogram is the perpendicular distance between the shortest 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 Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides?

Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides formula is defined as the length of the longest pair of parallel sides in a Parallelogram, and calculated using height to short edge and acute angle between sides of the Parallelogram is calculated using Long Edge of Parallelogram = Height to Short Edge of Parallelogram/(sin(Acute Angle of Parallelogram)). To calculate Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides, you need Height to Short Edge of Parallelogram (h_Short) & Acute Angle of Parallelogram (∠_Acute). With our tool, you need to enter the respective value for Height to Short 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 Long Edge of Parallelogram?

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

Long 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)))
Long Edge of Parallelogram = sqrt((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2-(2*Short Edge of Parallelogram^2))/2)
Long Edge of Parallelogram = Area of Parallelogram/Height to Long Edge of Parallelogram

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