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Side of Rhombus given Short Diagonal and Obtuse Angle Formula

GoSide of Rhombus given Area Formula

GoSide of Rhombus given Perimeter Formula

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The Side of Rhombus is the length of any of the four edges. Check FAQs

S = \frac{d Short}{2 \cdot \cos (\frac{∠ Obtuse}{2})}

S - Side of Rhombus?d_Short - Short Diagonal of Rhombus?∠_Obtuse - Obtuse Angle of Rhombus?

Side of Rhombus given Short Diagonal and Obtuse Angle Example

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Here is how the Side of Rhombus given Short Diagonal and Obtuse Angle equation looks like with Values.

Here is how the Side of Rhombus given Short Diagonal and Obtuse Angle equation looks like with Units.

Here is how the Side of Rhombus given Short Diagonal and Obtuse Angle equation looks like.

10.4525 = \frac{8}{2 \cdot \cos (\frac{135}{2})}

10.4525m = \frac{8m}{2 \cdot \cos (\frac{135°}{2})}

10.4525 = \frac{8}{2 \cdot \cos (\frac{135}{2})}

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Side of Rhombus given Short Diagonal and Obtuse Angle Solution

Follow our step by step solution on how to calculate Side of Rhombus given Short Diagonal and Obtuse Angle?

FIRST Step Consider the formula

S = \frac{d Short}{2 \cdot \cos (\frac{∠ Obtuse}{2})}

Next Step Substitute values of Variables

∴

S = \frac{8m}{2 \cdot \cos (\frac{135°}{2})}

Next Step Convert Units

∴

S = \frac{8m}{2 \cdot \cos (\frac{2.3562rad}{2})}

Next Step Prepare to Evaluate

∴

S = \frac{8}{2 \cdot \cos (\frac{2.3562}{2})}

Next Step Evaluate

∴

S = 10.4525037190054m

LAST Step Rounding Answer

∴

S = 10.4525m

Side of Rhombus given Short Diagonal and Obtuse Angle Formula Elements

Variables

Functions

Side of Rhombus

The Side of Rhombus is the length of any of the four edges.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Rhombus

Short Diagonal of Rhombus

A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Rhombus

Obtuse Angle of Rhombus

Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

Symbol: ∠_Obtuse

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse Angle of Rhombus

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Side of Rhombus

Go Side of Rhombus given Area

S = \sqrt{\frac{A}{\sin (∠ Acute)}}

Go Side of Rhombus given Perimeter

S = \frac{P}{4}

Go Side of Rhombus given Short Diagonal

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

Go Side of Rhombus given Long Diagonal and Obtuse Angle

S = \frac{d Long}{2 \cdot \sin (\frac{∠ Obtuse}{2})}

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

Side of Rhombus given Short Diagonal and Obtuse Angle evaluator uses Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2)) to evaluate 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 evaluate Side of Rhombus given Short Diagonal and Obtuse Angle using this online evaluator? To use this online evaluator 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.

FAQs on Side of Rhombus given Short Diagonal and Obtuse Angle

What is the formula to find Side of Rhombus given Short Diagonal and Obtuse Angle?

The formula of Side of Rhombus given Short Diagonal and Obtuse Angle is expressed as Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2)). Here is an example- 10.4525 = 8/(2*cos(2.3561944901919/2)).

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

With Short Diagonal of Rhombus (d_Short) & Obtuse Angle of Rhombus (∠_Obtuse) we can find Side of Rhombus given Short Diagonal and Obtuse Angle using the formula - Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2)). This formula also uses Cosine function(s).

What are the other ways to Calculate Side of Rhombus?

Here are the different ways to Calculate Side of Rhombus-

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))

Can the Side of Rhombus given Short Diagonal and Obtuse Angle be negative?

No, the Side of Rhombus given Short Diagonal and Obtuse Angle, measured in Length cannot be negative.

Which unit is used to measure Side of Rhombus given Short Diagonal and Obtuse Angle?

Side of Rhombus given Short Diagonal and Obtuse Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Side of Rhombus given Short Diagonal and Obtuse Angle can be measured.

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