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Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides Formula

GoShort Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals Formula

GoShort Diagonal of Parallelogram given Sides and Acute Angle between Sides Formula

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

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

d_Short - Short Diagonal of Parallelogram?e_Long - Long Edge of Parallelogram?e_Short - Short Edge of Parallelogram?∠_Obtuse - Obtuse Angle of Parallelogram?

Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides Example

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Here is how the Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides equation looks like with Values.

Here is how the Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides equation looks like with Units.

Here is how the Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides equation looks like.

8.6143 = \sqrt{12^{2} + 7^{2} + (2 \cdot 12 \cdot 7 \cdot \cos (135))}

8.6143m = \sqrt{{12m}^{2} + {7m}^{2} + (2 \cdot 12m \cdot 7m \cdot \cos (135°))}

8.6143 = \sqrt{12^{2} + 7^{2} + (2 \cdot 12 \cdot 7 \cdot \cos (135))}

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Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides Solution

Follow our step by step solution on how to calculate Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Short = \sqrt{{12m}^{2} + {7m}^{2} + (2 \cdot 12m \cdot 7m \cdot \cos (135°))}

Next Step Convert Units

∴

d Short = \sqrt{{12m}^{2} + {7m}^{2} + (2 \cdot 12m \cdot 7m \cdot \cos (2.3562rad))}

Next Step Prepare to Evaluate

∴

d Short = \sqrt{12^{2} + 7^{2} + (2 \cdot 12 \cdot 7 \cdot \cos (2.3562))}

Next Step Evaluate

∴

d Short = 8.61429397923665m

LAST Step Rounding Answer

∴

d Short = 8.6143m

Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides Formula Elements

Variables

Functions

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

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

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

Obtuse Angle of Parallelogram

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

Symbol: ∠_Obtuse

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse Angle 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 Diagonal of Parallelogram

Go Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals

d Short = \frac{2 \cdot A}{d Long \cdot \sin (∠ d(Obtuse))}

Go Short Diagonal of Parallelogram given Sides and Acute Angle between Sides

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

Go Short Diagonal of Parallelogram

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

How to Evaluate Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides?

Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides evaluator uses Short Diagonal of Parallelogram = sqrt(Long Edge of Parallelogram^2+Short Edge of Parallelogram^2+(2*Long Edge of Parallelogram*Short Edge of Parallelogram*cos(Obtuse Angle of Parallelogram))) to evaluate the Short Diagonal of Parallelogram, Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides formula is defined as the length of the line joining the pair of obtuse angle corners of a Parallelogram, and calculated using sides and obtuse angle between sides of the Parallelogram. Short Diagonal of Parallelogram is denoted by d_Short symbol.

How to evaluate Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides using this online evaluator? To use this online evaluator for Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides, enter Long Edge of Parallelogram (e_Long), Short Edge of Parallelogram (e_Short) & Obtuse Angle of Parallelogram (∠_Obtuse) and hit the calculate button.

FAQs on Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides

What is the formula to find Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides?

The formula of Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides is expressed as Short Diagonal of Parallelogram = sqrt(Long Edge of Parallelogram^2+Short Edge of Parallelogram^2+(2*Long Edge of Parallelogram*Short Edge of Parallelogram*cos(Obtuse Angle of Parallelogram))). Here is an example- 8.614294 = sqrt(12^2+7^2+(2*12*7*cos(2.3561944901919))).

How to calculate Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides?

With Long Edge of Parallelogram (e_Long), Short Edge of Parallelogram (e_Short) & Obtuse Angle of Parallelogram (∠_Obtuse) we can find Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides using the formula - Short Diagonal of Parallelogram = sqrt(Long Edge of Parallelogram^2+Short Edge of Parallelogram^2+(2*Long Edge of Parallelogram*Short Edge of Parallelogram*cos(Obtuse Angle of Parallelogram))). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

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

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

Short Diagonal of Parallelogram=(2*Area of Parallelogram)/(Long Diagonal of Parallelogram*sin(Obtuse Angle between Diagonals of Parallelogram))
Short Diagonal of Parallelogram=sqrt(Long Edge of Parallelogram^2+Short Edge of Parallelogram^2-(2*Long Edge of Parallelogram*Short Edge of Parallelogram*cos(Acute Angle of Parallelogram)))
Short Diagonal of Parallelogram=sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Long Diagonal of Parallelogram^2)

Can the Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides be negative?

No, the Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides, measured in Length cannot be negative.

Which unit is used to measure Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides?

Short Diagonal of Parallelogram given Sides and Obtuse 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 Diagonal of Parallelogram given Sides and Obtuse Angle between Sides can be measured.

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Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides Formula

​GoShort Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals Formula

​GoShort Diagonal of Parallelogram given Sides and Acute Angle between Sides Formula

Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides Example

Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides Solution

Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides Formula Elements

Other Formulas to find Short Diagonal of Parallelogram

How to Evaluate Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides?

FAQs on Short Diagonal of Parallelogram given Sides and Obtuse Angle between Sides

Variable Name

GoShort Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals Formula

GoShort Diagonal of Parallelogram given Sides and Acute Angle between Sides Formula