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

GoLong Edge of Parallelogram given Diagonals and Acute Angle between Diagonals Formula

GoLong Edge of Parallelogram given Diagonals and Short Edge Formula

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Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram. Check FAQs

e Long = \frac{h Short}{\sin (∠ Acute)}

e_Long - Long Edge of Parallelogram?h_Short - Height to Short Edge of Parallelogram?∠_Acute - Acute Angle of Parallelogram?

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

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Here is how the Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides equation looks like with Values.

Here is how the Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides equation looks like with Units.

Here is how the Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides equation looks like.

11.3137 = \frac{8}{\sin (45)}

11.3137m = \frac{8m}{\sin (45°)}

11.3137 = \frac{8}{\sin (45)}

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

Follow our step by step solution on how to calculate Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides?

FIRST Step Consider the formula

e Long = \frac{h Short}{\sin (∠ Acute)}

Next Step Substitute values of Variables

∴

e Long = \frac{8m}{\sin (45°)}

Next Step Convert Units

∴

e Long = \frac{8m}{\sin (0.7854rad)}

Next Step Prepare to Evaluate

∴

e Long = \frac{8}{\sin (0.7854)}

Next Step Evaluate

∴

e Long = 11.3137084989864m

LAST Step Rounding Answer

∴

e Long = 11.3137m

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

Variables

Functions

Long Edge of Parallelogram

Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.

Symbol: e_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Parallelogram

Height to Short Edge of Parallelogram

Height to Short Edge of Parallelogram is the perpendicular distance between the shortest pair of parallel edges of a Parallelogram.

Symbol: h_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height to Short Edge of Parallelogram

Acute Angle of Parallelogram

Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degree in a Parallelogram.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Parallelogram

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.

Syntax: sin(Angle)

Other Formulas to find Long Edge of Parallelogram

Go Long Edge of Parallelogram given Diagonals and Acute Angle between Diagonals

e Long = \frac{1}{2} \cdot \sqrt{{d Long}^{2} + {d Short}^{2} + (2 \cdot d Long \cdot d Short \cdot \cos (∠ d(Acute)))}

Go Long Edge of Parallelogram given Diagonals and Short Edge

e Long = \sqrt{\frac{{d Long}^{2} + {d Short}^{2} - (2 \cdot {e Short}^{2})}{2}}

Go Long Edge of Parallelogram

e Long = \frac{A}{h Long}

Go Long Edge of Parallelogram given Diagonals and Obtuse Angle between Diagonals

e Long = \frac{1}{2} \cdot \sqrt{{d Long}^{2} + {d Short}^{2} - (2 \cdot d Long \cdot d Short \cdot \cos (∠ d(Obtuse)))}

How to Evaluate 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 evaluator uses Long Edge of Parallelogram = Height to Short Edge of Parallelogram/(sin(Acute Angle of Parallelogram)) to evaluate 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 evaluate Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides using this online evaluator? To use this online evaluator 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.

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

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

The formula of Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides is expressed as Long Edge of Parallelogram = Height to Short Edge of Parallelogram/(sin(Acute Angle of Parallelogram)). Here is an example- 11.31371 = 8/(sin(0.785398163397301)).

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

With Height to Short Edge of Parallelogram (h_Short) & Acute Angle of Parallelogram (∠_Acute) we can find Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides using the formula - Long Edge of Parallelogram = Height to Short Edge of Parallelogram/(sin(Acute Angle of Parallelogram)). This formula also uses Sine function(s).

What are the other ways to Calculate Long Edge of Parallelogram?

Here are the different ways to Calculate Long Edge of Parallelogram-

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

Can the Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides be negative?

No, the Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides can be measured.

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