Side of Rhombus given Short Diagonal and Obtuse Angle Calculator

✖A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.ⓘ Short Diagonal of Rhombus [d_Short]			+10% -10%
✖Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.ⓘ Obtuse Angle of Rhombus [∠_Obtuse]			+10% -10%

✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus given Short Diagonal and Obtuse Angle [S]

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Formula

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Side of Rhombus given Short Diagonal and Obtuse Angle

Formula

`"S" = "d"_{"Short"}/(2*cos("∠"_{"Obtuse"}/2))`

Example

`"10.4525m"="8m"/(2*cos("135°"/2))`

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Side of Rhombus given Short Diagonal and Obtuse Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2))
S = d_Short/(2*cos(∠_Obtuse/2))
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
Short Diagonal of Rhombus - (Measured in Meter) - A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.
Obtuse Angle of Rhombus - (Measured in Radian) - Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Rhombus: 8 Meter --> 8 Meter No Conversion Required
Obtuse Angle of Rhombus: 135 Degree --> 2.3561944901919 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = d_Short/(2*cos(∠_Obtuse/2)) --> 8/(2*cos(2.3561944901919/2))

Evaluating ... ...

S = 10.4525037190054

STEP 3: Convert Result to Output's Unit

10.4525037190054 Meter --> No Conversion Required

FINAL ANSWER

10.4525037190054 ≈ 10.4525 Meter <-- Side of Rhombus

(Calculation completed in 00.004 seconds)

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Created by Shashwati Tidke

Vishwakarma Institute of Technology (VIT), Pune

Shashwati Tidke has created this Calculator and 7 more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< 9 Side of Rhombus Calculators

Side of Rhombus given Area

Go Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))

Side of Rhombus given Short Diagonal and Long Diagonal

Go Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2

Side of Rhombus given Short Diagonal and Obtuse Angle

Go Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2))

Side of Rhombus given Long Diagonal and Obtuse Angle

Go Side of Rhombus = Long Diagonal of Rhombus/(2*sin(Obtuse Angle of Rhombus/2))

Side of Rhombus given Short Diagonal

Go Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))

Side of Rhombus given Long Diagonal

Go Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2))

Side of Rhombus given Inradius

Go Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus)

Side of Rhombus given Height

Go Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus)

Side of Rhombus given Perimeter

Go Side of Rhombus = Perimeter of Rhombus/4

Side of Rhombus given Short Diagonal and Obtuse Angle Formula

Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2))
S = d_Short/(2*cos(∠_Obtuse/2))

What is a Rhombus ?

A Rhombus is a special case of a parallelogram. In a Rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a Rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or Rhombus diamond. The plural form of a Rhombus is Rhombi or Rhombuses.

How to Calculate Side of Rhombus given Short Diagonal and Obtuse Angle?

Side of Rhombus given Short Diagonal and Obtuse Angle calculator uses Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2)) to calculate the Side of Rhombus, Side of Rhombus given Short Diagonal and Obtuse Angle is defined as the line segment that joins two adjacent vertices of the Rhombus, calculated using the short diagonal and obtuse angle of the Rhombus. Side of Rhombus is denoted by S symbol.

How to calculate Side of Rhombus given Short Diagonal and Obtuse Angle using this online calculator? To use this online calculator for Side of Rhombus given Short Diagonal and Obtuse Angle, enter Short Diagonal of Rhombus (d_Short) & Obtuse Angle of Rhombus (∠_Obtuse) and hit the calculate button. Here is how the Side of Rhombus given Short Diagonal and Obtuse Angle calculation can be explained with given input values -> 10.4525 = 8/(2*cos(2.3561944901919/2)).

FAQ

What is Side of Rhombus given Short Diagonal and Obtuse Angle?

Side of Rhombus given Short Diagonal and Obtuse Angle is defined as the line segment that joins two adjacent vertices of the Rhombus, calculated using the short diagonal and obtuse angle of the Rhombus and is represented as S = d_Short/(2*cos(∠_Obtuse/2)) or Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2)). A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus & Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

How to calculate Side of Rhombus given Short Diagonal and Obtuse Angle?

Side of Rhombus given Short Diagonal and Obtuse Angle is defined as the line segment that joins two adjacent vertices of the Rhombus, calculated using the short diagonal and obtuse angle of the Rhombus is calculated using Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2)). To calculate Side of Rhombus given Short Diagonal and Obtuse Angle, you need Short Diagonal of Rhombus (d_Short) & Obtuse Angle of Rhombus (∠_Obtuse). With our tool, you need to enter the respective value for Short Diagonal of Rhombus & Obtuse Angle of Rhombus 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 Side of Rhombus?

In this formula, Side of Rhombus uses Short Diagonal of Rhombus & Obtuse Angle of Rhombus. We can use 8 other way(s) to calculate the same, which is/are as follows -

Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
Side of Rhombus = Perimeter of Rhombus/4
Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))
Side of Rhombus = Long Diagonal of Rhombus/(2*sin(Obtuse Angle of Rhombus/2))
Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2))
Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2
Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus)
Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus)

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