FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Short Edge of Parallelogram given Diagonals and Long Edge Formula

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

GoShort Edge of Parallelogram Formula

Fx Copy

LaTeX Copy

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

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

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

Short Edge of Parallelogram given Diagonals and Long Edge Example

With values

With units

Only example

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

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

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

7.6485 = \sqrt{\frac{18^{2} + 9^{2} - (2 \cdot 12^{2})}{2}}

7.6485m = \sqrt{\frac{{18m}^{2} + {9m}^{2} - (2 \cdot {12m}^{2})}{2}}

7.6485 = \sqrt{\frac{18^{2} + 9^{2} - (2 \cdot 12^{2})}{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Short Edge of Parallelogram given Diagonals and Long Edge

Short Edge of Parallelogram given Diagonals and Long Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e Short = \sqrt{\frac{{18m}^{2} + {9m}^{2} - (2 \cdot {12m}^{2})}{2}}

Next Step Prepare to Evaluate

∴

e Short = \sqrt{\frac{18^{2} + 9^{2} - (2 \cdot 12^{2})}{2}}

Next Step Evaluate

∴

e Short = 7.64852927038918m

LAST Step Rounding Answer

∴

e Short = 7.6485m

Short Edge of Parallelogram given Diagonals and Long Edge 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

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

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 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)))}

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 Diagonals and Long Edge?

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

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

FAQs on Short Edge of Parallelogram given Diagonals and Long Edge

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

The formula of Short Edge of Parallelogram given Diagonals and Long Edge is expressed as Short Edge of Parallelogram = sqrt((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2-(2*Long Edge of Parallelogram^2))/2). Here is an example- 7.648529 = sqrt((18^2+9^2-(2*12^2))/2).

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

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Short Edge of Parallelogram given Diagonals and Long Edge Formula

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

​GoShort Edge of Parallelogram Formula

Short Edge of Parallelogram given Diagonals and Long Edge Example

Short Edge of Parallelogram given Diagonals and Long Edge Solution

Short Edge of Parallelogram given Diagonals and Long Edge Formula Elements

Other Formulas to find Short Edge of Parallelogram

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

FAQs on Short Edge of Parallelogram given Diagonals and Long Edge

Variable Name

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

GoShort Edge of Parallelogram Formula