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Long Edge of Parallelogram given Diagonals and Short Edge Formula

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

GoLong Edge of Parallelogram given Height to Short Edge and Acute Angle between Sides 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 = \sqrt{\frac{{d Long}^{2} + {d Short}^{2} - (2 \cdot {e Short}^{2})}{2}}

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

Long Edge of Parallelogram given Diagonals and Short Edge Example

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

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

Here is how the Long Edge of Parallelogram given Diagonals and Short Edge equation looks like.

12.3895 = \sqrt{\frac{18^{2} + 9^{2} - (2 \cdot 7^{2})}{2}}

12.3895m = \sqrt{\frac{{18m}^{2} + {9m}^{2} - (2 \cdot {7m}^{2})}{2}}

12.3895 = \sqrt{\frac{18^{2} + 9^{2} - (2 \cdot 7^{2})}{2}}

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Long Edge of Parallelogram given Diagonals and Short Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e Long = \sqrt{\frac{{18m}^{2} + {9m}^{2} - (2 \cdot {7m}^{2})}{2}}

Next Step Prepare to Evaluate

∴

e Long = \sqrt{\frac{18^{2} + 9^{2} - (2 \cdot 7^{2})}{2}}

Next Step Evaluate

∴

e Long = 12.3895116933639m

LAST Step Rounding Answer

∴

e Long = 12.3895m

Long Edge of Parallelogram given Diagonals and Short Edge 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

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

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

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 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 Height to Short Edge and Acute Angle between Sides

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

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 Diagonals and Short Edge?

Long Edge of Parallelogram given Diagonals and Short Edge evaluator uses Long Edge of Parallelogram = sqrt((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2-(2*Short Edge of Parallelogram^2))/2) to evaluate the Long Edge of Parallelogram, Long Edge of Parallelogram given Diagonals and Short Edge formula is defined as the length of the longest pair of parallel sides in a Parallelogram, and calculated using diagonals and short edge of the Parallelogram. Long Edge of Parallelogram is denoted by e_Long symbol.

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

FAQs on Long Edge of Parallelogram given Diagonals and Short Edge

What is the formula to find Long Edge of Parallelogram given Diagonals and Short Edge?

The formula of Long Edge of Parallelogram given Diagonals and Short Edge is expressed as Long Edge of Parallelogram = sqrt((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2-(2*Short Edge of Parallelogram^2))/2). Here is an example- 12.38951 = sqrt((18^2+9^2-(2*7^2))/2).

How to calculate Long Edge of Parallelogram given Diagonals and Short Edge?

With Long Diagonal of Parallelogram (d_Long), Short Diagonal of Parallelogram (d_Short) & Short Edge of Parallelogram (e_Short) we can find Long Edge of Parallelogram given Diagonals and Short Edge using the formula - Long Edge of Parallelogram = sqrt((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2-(2*Short Edge of Parallelogram^2))/2). This formula also uses Square Root (sqrt) 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=Height to Short Edge of Parallelogram/(sin(Acute Angle of Parallelogram))
Long Edge of Parallelogram=Area of Parallelogram/Height to Long Edge of Parallelogram

Can the Long Edge of Parallelogram given Diagonals and Short Edge be negative?

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

Which unit is used to measure Long Edge of Parallelogram given Diagonals and Short Edge?

Long Edge of Parallelogram given Diagonals and Short Edge 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 Diagonals and Short Edge can be measured.

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Long Edge of Parallelogram given Diagonals and Short Edge Formula

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

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

Long Edge of Parallelogram given Diagonals and Short Edge Example

Long Edge of Parallelogram given Diagonals and Short Edge Solution

Long Edge of Parallelogram given Diagonals and Short Edge Formula Elements

Other Formulas to find Long Edge of Parallelogram

How to Evaluate Long Edge of Parallelogram given Diagonals and Short Edge?

FAQs on Long Edge of Parallelogram given Diagonals and Short Edge

Variable Name

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

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