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Side of Rhombus given Long 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 Long}{2 \cdot \sin (\frac{∠ Obtuse}{2})}

S - Side of Rhombus?d_Long - Long Diagonal of Rhombus?∠_Obtuse - Obtuse Angle of Rhombus?

Side of Rhombus given Long Diagonal and Obtuse Angle Example

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

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

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

9.7415 = \frac{18}{2 \cdot \sin (\frac{135}{2})}

9.7415m = \frac{18m}{2 \cdot \sin (\frac{135°}{2})}

9.7415 = \frac{18}{2 \cdot \sin (\frac{135}{2})}

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Side of Rhombus given Long Diagonal and Obtuse Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{18m}{2 \cdot \sin (\frac{135°}{2})}

Next Step Convert Units

∴

S = \frac{18m}{2 \cdot \sin (\frac{2.3562rad}{2})}

Next Step Prepare to Evaluate

∴

S = \frac{18}{2 \cdot \sin (\frac{2.3562}{2})}

Next Step Evaluate

∴

S = 9.74152980263244m

LAST Step Rounding Answer

∴

S = 9.7415m

Side of Rhombus given Long 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

Long Diagonal of Rhombus

The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long 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

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.

Syntax: sin(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 Short Diagonal and Obtuse Angle

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

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

Side of Rhombus given Long Diagonal and Obtuse Angle evaluator uses Side of Rhombus = Long Diagonal of Rhombus/(2*sin(Obtuse Angle of Rhombus/2)) to evaluate the Side of Rhombus, The Side of Rhombus given Long Diagonal and Obtuse Angle formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using long diagonal and obtuse angle. Side of Rhombus is denoted by S symbol.

How to evaluate Side of Rhombus given Long Diagonal and Obtuse Angle using this online evaluator? To use this online evaluator for Side of Rhombus given Long Diagonal and Obtuse Angle, enter Long Diagonal of Rhombus (d_Long) & Obtuse Angle of Rhombus (∠_Obtuse) and hit the calculate button.

FAQs on Side of Rhombus given Long Diagonal and Obtuse Angle

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

The formula of Side of Rhombus given Long Diagonal and Obtuse Angle is expressed as Side of Rhombus = Long Diagonal of Rhombus/(2*sin(Obtuse Angle of Rhombus/2)). Here is an example- 9.74153 = 18/(2*sin(2.3561944901919/2)).

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

With Long Diagonal of Rhombus (d_Long) & Obtuse Angle of Rhombus (∠_Obtuse) we can find Side of Rhombus given Long Diagonal and Obtuse Angle using the formula - Side of Rhombus = Long Diagonal of Rhombus/(2*sin(Obtuse Angle of Rhombus/2)). This formula also uses Sine (sin) 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 Long Diagonal and Obtuse Angle be negative?

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

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

Side of Rhombus given Long 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 Long Diagonal and Obtuse Angle can be measured.

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