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

✖Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram.ⓘ Area of Parallelogram [A]			+10% -10%
✖Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.ⓘ Long Diagonal of Parallelogram [d_Long]			+10% -10%
✖Obtuse Angle between Diagonals of Parallelogram is the angle made by the diagonals of the Parallelogram which is greater than 90 degree.ⓘ Obtuse Angle between Diagonals of Parallelogram [∠_d(Obtuse)]			+10% -10%

✖Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.ⓘ Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals [d_Short]

⎘ Copy

👎

Formula

✖

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

Formula

`"d"_{"Short"} = (2*"A")/("d"_{"Long"}*sin("∠"_{"d(Obtuse)"}))`

Example

`"8.702715m"=(2*"60m²")/("18m"*sin("130°"))`

Calculator

LaTeX

Reset

👍

Download Parallelogram Formulas PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Parallelogram = (2*Area of Parallelogram)/(Long Diagonal of Parallelogram*sin(Obtuse Angle between Diagonals of Parallelogram))
d_Short = (2*A)/(d_Long*sin(∠_d(Obtuse)))
This formula uses 1 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Short Diagonal of Parallelogram - (Measured in Meter) - Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.
Area of Parallelogram - (Measured in Square Meter) - Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram.
Long Diagonal of Parallelogram - (Measured in Meter) - Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.
Obtuse Angle between Diagonals of Parallelogram - (Measured in Radian) - Obtuse Angle between Diagonals of Parallelogram is the angle made by the diagonals of the Parallelogram which is greater than 90 degree.

STEP 1: Convert Input(s) to Base Unit

Area of Parallelogram: 60 Square Meter --> 60 Square Meter No Conversion Required
Long Diagonal of Parallelogram: 18 Meter --> 18 Meter No Conversion Required
Obtuse Angle between Diagonals of Parallelogram: 130 Degree --> 2.2689280275922 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Short = (2*A)/(d_Long*sin(∠_d(Obtuse))) --> (2*60)/(18*sin(2.2689280275922))

Evaluating ... ...

d_Short = 8.70271526221206

STEP 3: Convert Result to Output's Unit

8.70271526221206 Meter --> No Conversion Required

FINAL ANSWER

8.70271526221206 ≈ 8.702715 Meter <-- Short Diagonal of Parallelogram

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Parallelogram » Diagonal of Parallelogram » Short Diagonal of Parallelogram » Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals

Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 4 Short Diagonal of Parallelogram Calculators

Short Diagonal of Parallelogram given Sides and Acute Angle between Sides

Go 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 given Sides and Obtuse Angle between Sides

Go 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)))

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

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

Short Diagonal of Parallelogram

Go Short Diagonal of Parallelogram = sqrt((2*Long Edge of Parallelogram^2)+(2*Short Edge of Parallelogram^2)-Long Diagonal of Parallelogram^2)

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

Short Diagonal of Parallelogram = (2*Area of Parallelogram)/(Long Diagonal of Parallelogram*sin(Obtuse Angle between Diagonals of Parallelogram))
d_Short = (2*A)/(d_Long*sin(∠_d(Obtuse)))

What is a Parallelogram?

A Parallelogram is a special type of quadrilateral that has two pairs of opposite and parallel sides. Rectangles are a special type of Parallelogram. The angles of Parallelogram are also pairwise equal and opposite - one pair of equal and opposite acute angle and one pair of equal and opposite obtuse angle angle.

How to Calculate Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals?

Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals calculator uses Short Diagonal of Parallelogram = (2*Area of Parallelogram)/(Long Diagonal of Parallelogram*sin(Obtuse Angle between Diagonals of Parallelogram)) to calculate the Short Diagonal of Parallelogram, Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals formula is defined as the length of the line joining the pair of obtuse angle corners of a Parallelogram, and calculated using area, long diagonal and obtuse angle between diagonals of the Parallelogram. Short Diagonal of Parallelogram is denoted by d_Short symbol.

How to calculate Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals using this online calculator? To use this online calculator for Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals, enter Area of Parallelogram (A), Long Diagonal of Parallelogram (d_Long) & Obtuse Angle between Diagonals of Parallelogram (∠_d(Obtuse)) and hit the calculate button. Here is how the Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals calculation can be explained with given input values -> 8.702715 = (2*60)/(18*sin(2.2689280275922)).

FAQ

What is Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals?

Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals formula is defined as the length of the line joining the pair of obtuse angle corners of a Parallelogram, and calculated using area, long diagonal and obtuse angle between diagonals of the Parallelogram and is represented as d_Short = (2*A)/(d_Long*sin(∠_d(Obtuse))) or Short Diagonal of Parallelogram = (2*Area of Parallelogram)/(Long Diagonal of Parallelogram*sin(Obtuse Angle between Diagonals of Parallelogram)). Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram, Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram & Obtuse Angle between Diagonals of Parallelogram is the angle made by the diagonals of the Parallelogram which is greater than 90 degree.

How to calculate Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals?

Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals formula is defined as the length of the line joining the pair of obtuse angle corners of a Parallelogram, and calculated using area, long diagonal and obtuse angle between diagonals of the Parallelogram is calculated using Short Diagonal of Parallelogram = (2*Area of Parallelogram)/(Long Diagonal of Parallelogram*sin(Obtuse Angle between Diagonals of Parallelogram)). To calculate Short Diagonal of Parallelogram given Area, Long Diagonal and Obtuse Angle between Diagonals, you need Area of Parallelogram (A), Long Diagonal of Parallelogram (d_Long) & Obtuse Angle between Diagonals of Parallelogram (∠_d(Obtuse)). With our tool, you need to enter the respective value for Area of Parallelogram, Long Diagonal of Parallelogram & Obtuse Angle between Diagonals of Parallelogram and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Short Diagonal of Parallelogram?

In this formula, Short Diagonal of Parallelogram uses Area of Parallelogram, Long Diagonal of Parallelogram & Obtuse Angle between Diagonals of Parallelogram. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)))
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)

Home

FREE PDFs

🔍 Search