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

GoShort Edge of Parallelogram given Diagonals and Long Edge Formula

GoShort Edge of Parallelogram Formula

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Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram. Check FAQs

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

e_Short - Short Edge of Parallelogram?h_Long - Height to Long Edge of Parallelogram?∠_Acute - Acute Angle of Parallelogram?

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

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

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

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

7.0711 = \frac{5}{\sin (45)}

7.0711m = \frac{5m}{\sin (45°)}

7.0711 = \frac{5}{\sin (45)}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e Short = \frac{5m}{\sin (45°)}

Next Step Convert Units

∴

e Short = \frac{5m}{\sin (0.7854rad)}

Next Step Prepare to Evaluate

∴

e Short = \frac{5}{\sin (0.7854)}

Next Step Evaluate

∴

e Short = 7.07106781186652m

LAST Step Rounding Answer

∴

e Short = 7.0711m

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

Variables

Functions

Short Edge of Parallelogram

Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram.

Symbol: e_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Parallelogram

Height to Long Edge of Parallelogram

Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram.

Symbol: h_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height to Long 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 Short Edge of Parallelogram

Go Short Edge of Parallelogram given Diagonals and Long Edge

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

Go Short Edge of Parallelogram

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

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

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

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

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

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

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

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

The formula of Short Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides is expressed as Short Edge of Parallelogram = Height to Long Edge of Parallelogram/(sin(Acute Angle of Parallelogram)). Here is an example- 7.071068 = 5/(sin(0.785398163397301)).

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

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

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

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

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)))

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

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

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

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