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Side of Rhombus given Height 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{h}{\sin (∠ Acute)}

S - Side of Rhombus?h - Height of Rhombus?∠_Acute - Acute Angle of Rhombus?

Side of Rhombus given Height Example

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

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

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

9.8995 = \frac{7}{\sin (45)}

9.8995m = \frac{7m}{\sin (45°)}

9.8995 = \frac{7}{\sin (45)}

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Side of Rhombus given Height Solution

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

FIRST Step Consider the formula

S = \frac{h}{\sin (∠ Acute)}

Next Step Substitute values of Variables

∴

S = \frac{7m}{\sin (45°)}

Next Step Convert Units

∴

S = \frac{7m}{\sin (0.7854rad)}

Next Step Prepare to Evaluate

∴

S = \frac{7}{\sin (0.7854)}

Next Step Evaluate

∴

S = 9.89949493661312m

LAST Step Rounding Answer

∴

S = 9.8995m

Side of Rhombus given Height 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

Height of Rhombus

Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

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 Height?

Side of Rhombus given Height evaluator uses Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus) to evaluate the Side of Rhombus, The Side of Rhombus given Height formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using the height of the Rhombus. Side of Rhombus is denoted by S symbol.

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

FAQs on Side of Rhombus given Height

What is the formula to find Side of Rhombus given Height?

The formula of Side of Rhombus given Height is expressed as Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus). Here is an example- 9.899495 = 7/sin(0.785398163397301).

How to calculate Side of Rhombus given Height?

With Height of Rhombus (h) & Acute Angle of Rhombus (∠_Acute) we can find Side of Rhombus given Height using the formula - Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus). 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 Height be negative?

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

Which unit is used to measure Side of Rhombus given Height?

Side of Rhombus given Height 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 Height can be measured.

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