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

GoShort Edge of Parallelogram given Diagonals and Long Edge Formula

GoShort Edge of Parallelogram given Height to Long Edge and Acute Angle between Sides 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{1}{2} \cdot \sqrt{{d Long}^{2} + {d Short}^{2} - (2 \cdot d Long \cdot d Short \cdot \cos (∠ d(Acute)))}

e_Short - Short Edge of Parallelogram?d_Long - Long Diagonal of Parallelogram?d_Short - Short Diagonal of Parallelogram?∠_d(Acute) - Acute Angle between Diagonals of Parallelogram?

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

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Here is how the Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals equation looks like with Values.

Here is how the Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals equation looks like with Units.

Here is how the Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals equation looks like.

7.0131 = \frac{1}{2} \cdot \sqrt{18^{2} + 9^{2} - (2 \cdot 18 \cdot 9 \cdot \cos (50))}

7.0131m = \frac{1}{2} \cdot \sqrt{{18m}^{2} + {9m}^{2} - (2 \cdot 18m \cdot 9m \cdot \cos (50°))}

7.0131 = \frac{1}{2} \cdot \sqrt{18^{2} + 9^{2} - (2 \cdot 18 \cdot 9 \cdot \cos (50))}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e Short = \frac{1}{2} \cdot \sqrt{{18m}^{2} + {9m}^{2} - (2 \cdot 18m \cdot 9m \cdot \cos (50°))}

Next Step Convert Units

∴

e Short = \frac{1}{2} \cdot \sqrt{{18m}^{2} + {9m}^{2} - (2 \cdot 18m \cdot 9m \cdot \cos (0.8727rad))}

Next Step Prepare to Evaluate

∴

e Short = \frac{1}{2} \cdot \sqrt{18^{2} + 9^{2} - (2 \cdot 18 \cdot 9 \cdot \cos (0.8727))}

Next Step Evaluate

∴

e Short = 7.01314505877215m

LAST Step Rounding Answer

∴

e Short = 7.0131m

Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals 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

Long Diagonal of Parallelogram

Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Parallelogram

Short Diagonal of Parallelogram

Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Parallelogram

Acute Angle between Diagonals of Parallelogram

Acute Angle between Diagonals of Parallelogram is the angle made by the diagonals of the Parallelogram which is less than 90 degree.

Symbol: ∠_d(Acute)

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle between Diagonals of Parallelogram

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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.

Syntax: sqrt(Number)

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 given Height to Long Edge and Acute Angle between Sides

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

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)))}

How to Evaluate Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals?

Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals evaluator uses 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))) to evaluate the Short Edge of Parallelogram, Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals formula is defined as the length of the shortest pair of parallel edges in a Parallelogram, and calculated using diagonals and acute angle between diagonals of the Parallelogram. Short Edge of Parallelogram is denoted by e_Short symbol.

How to evaluate Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals using this online evaluator? To use this online evaluator for Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals, enter Long Diagonal of Parallelogram (d_Long), Short Diagonal of Parallelogram (d_Short) & Acute Angle between Diagonals of Parallelogram (∠_d(Acute)) and hit the calculate button.

FAQs on Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals

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

The formula of Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals is expressed as 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))). Here is an example- 7.013145 = 1/2*sqrt(18^2+9^2-(2*18*9*cos(0.872664625997001))).

How to calculate Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals?

With Long Diagonal of Parallelogram (d_Long), Short Diagonal of Parallelogram (d_Short) & Acute Angle between Diagonals of Parallelogram (∠_d(Acute)) we can find Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals using the formula - 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))). This formula also uses Cosine (cos), Square Root (sqrt) 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=Height to Long Edge of Parallelogram/(sin(Acute Angle of Parallelogram))
Short Edge of Parallelogram=Area of Parallelogram/Height to Short Edge of Parallelogram

Can the Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals be negative?

No, the Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals, measured in Length cannot be negative.

Which unit is used to measure Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals?

Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals 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 Diagonals and Acute Angle between Diagonals can be measured.

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

​GoShort Edge of Parallelogram given Diagonals and Long Edge Formula

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

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

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

Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals Formula Elements

Other Formulas to find Short Edge of Parallelogram

How to Evaluate Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals?

FAQs on Short Edge of Parallelogram given Diagonals and Acute Angle between Diagonals

Variable Name

GoShort Edge of Parallelogram given Diagonals and Long Edge Formula

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