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Side of Rhombus given Long Diagonal 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 \cos (\frac{∠ Acute}{2})}

S - Side of Rhombus?d_Long - Long Diagonal of Rhombus?∠_Acute - Acute Angle of Rhombus?

Side of Rhombus given Long Diagonal Example

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

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

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

9.7415 = \frac{18}{2 \cdot \cos (\frac{45}{2})}

9.7415m = \frac{18m}{2 \cdot \cos (\frac{45°}{2})}

9.7415 = \frac{18}{2 \cdot \cos (\frac{45}{2})}

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Side of Rhombus given Long Diagonal Solution

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

FIRST Step Consider the formula

S = \frac{d Long}{2 \cdot \cos (\frac{∠ Acute}{2})}

Next Step Substitute values of Variables

∴

S = \frac{18m}{2 \cdot \cos (\frac{45°}{2})}

Next Step Convert Units

∴

S = \frac{18m}{2 \cdot \cos (\frac{0.7854rad}{2})}

Next Step Prepare to Evaluate

∴

S = \frac{18}{2 \cdot \cos (\frac{0.7854}{2})}

Next Step Evaluate

∴

S = 9.74152980263125m

LAST Step Rounding Answer

∴

S = 9.7415m

Side of Rhombus given Long Diagonal 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

Acute Angle of Rhombus

Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute 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 Short Diagonal and Obtuse Angle

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

How to Evaluate Side of Rhombus given Long Diagonal?

Side of Rhombus given Long Diagonal evaluator uses Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2)) to evaluate the Side of Rhombus, Side of Rhombus given Long Diagonal can be defined as the length of the straight line joining two adjacent vertices of a Rhombus, calculated using the long diagonal of the Rhombus. Side of Rhombus is denoted by S symbol.

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

FAQs on Side of Rhombus given Long Diagonal

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

The formula of Side of Rhombus given Long Diagonal is expressed as Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2)). Here is an example- 9.74153 = 18/(2*cos(0.785398163397301/2)).

How to calculate Side of Rhombus given Long Diagonal?

With Long Diagonal of Rhombus (d_Long) & Acute Angle of Rhombus (∠_Acute) we can find Side of Rhombus given Long Diagonal using the formula - Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute 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 Long Diagonal be negative?

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

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

Side of Rhombus given Long Diagonal 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 can be measured.

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