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Long Diagonal of Parallelogram Formula

GoLong Diagonal of Parallelogram given Area, Short Diagonal and Acute Angle between Diagonals Formula

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

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

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

d_Long - Long Diagonal of Parallelogram?e_Long - Long Edge of Parallelogram?e_Short - Short Edge of Parallelogram?d_Short - Short Diagonal of Parallelogram?

Long Diagonal of Parallelogram Example

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Here is how the Long Diagonal of Parallelogram equation looks like with Values.

Here is how the Long Diagonal of Parallelogram equation looks like with Units.

Here is how the Long Diagonal of Parallelogram equation looks like.

17.4642 = \sqrt{(2 \cdot 12^{2}) + (2 \cdot 7^{2}) - 9^{2}}

17.4642m = \sqrt{(2 \cdot {12m}^{2}) + (2 \cdot {7m}^{2}) - {9m}^{2}}

17.4642 = \sqrt{(2 \cdot 12^{2}) + (2 \cdot 7^{2}) - 9^{2}}

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Long Diagonal of Parallelogram Solution

Follow our step by step solution on how to calculate Long Diagonal of Parallelogram?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = \sqrt{(2 \cdot {12m}^{2}) + (2 \cdot {7m}^{2}) - {9m}^{2}}

Next Step Prepare to Evaluate

∴

d Long = \sqrt{(2 \cdot 12^{2}) + (2 \cdot 7^{2}) - 9^{2}}

Next Step Evaluate

∴

d Long = 17.464249196573m

LAST Step Rounding Answer

∴

d Long = 17.4642m

Long Diagonal of Parallelogram Formula Elements

Variables

Functions

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

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

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

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 Long Diagonal of Parallelogram

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

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

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

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

Go Long Diagonal of Parallelogram given Sides and Obtuse Angle between sides

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

How to Evaluate Long Diagonal of Parallelogram?

Long Diagonal of Parallelogram evaluator uses Long Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Short Diagonal of Parallelogram^2) to evaluate the Long Diagonal of Parallelogram, Long Diagonal of Parallelogram given sides and short diagonal formula is defined as the length of the line joining the pair of acute angle corners of a Parallelogram. Long Diagonal of Parallelogram is denoted by d_Long symbol.

How to evaluate Long Diagonal of Parallelogram using this online evaluator? To use this online evaluator for Long Diagonal of Parallelogram, enter Long Edge of Parallelogram (e_Long), Short Edge of Parallelogram (e_Short) & Short Diagonal of Parallelogram (d_Short) and hit the calculate button.

FAQs on Long Diagonal of Parallelogram

What is the formula to find Long Diagonal of Parallelogram?

The formula of Long Diagonal of Parallelogram is expressed as Long Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Short Diagonal of Parallelogram^2). Here is an example- 17.46425 = sqrt((2*12^2)+(2*7^2)-9^2).

How to calculate Long Diagonal of Parallelogram?

With Long Edge of Parallelogram (e_Long), Short Edge of Parallelogram (e_Short) & Short Diagonal of Parallelogram (d_Short) we can find Long Diagonal of Parallelogram using the formula - Long Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Short Diagonal of Parallelogram^2). This formula also uses Square Root (sqrt) function(s).

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

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

Long Diagonal of Parallelogram=(2*Area of Parallelogram)/(Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram))
Long 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)))
Long 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)))

Can the Long Diagonal of Parallelogram be negative?

No, the Long Diagonal of Parallelogram, measured in Length cannot be negative.

Which unit is used to measure Long Diagonal of Parallelogram?

Long Diagonal of Parallelogram is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Diagonal of Parallelogram can be measured.

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Long Diagonal of Parallelogram Formula

​GoLong Diagonal of Parallelogram given Area, Short Diagonal and Acute Angle between Diagonals Formula

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

Long Diagonal of Parallelogram Example

Long Diagonal of Parallelogram Solution

Long Diagonal of Parallelogram Formula Elements

Other Formulas to find Long Diagonal of Parallelogram

How to Evaluate Long Diagonal of Parallelogram?

FAQs on Long Diagonal of Parallelogram

Variable Name

GoLong Diagonal of Parallelogram given Area, Short Diagonal and Acute Angle between Diagonals Formula

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