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Height of Rhombus given Short Diagonal Formula

GoHeight of Rhombus given Area Formula

GoHeight of Rhombus Formula

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

h = d Short \cdot \cos (\frac{∠ Acute}{2})

h - Height of Rhombus?d_Short - Short Diagonal of Rhombus?∠_Acute - Acute Angle of Rhombus?

Height of Rhombus given Short Diagonal Example

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

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

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

7.391 = 8 \cdot \cos (\frac{45}{2})

7.391m = 8m \cdot \cos (\frac{45°}{2})

7.391 = 8 \cdot \cos (\frac{45}{2})

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Height of Rhombus given Short Diagonal Solution

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

FIRST Step Consider the formula

h = d Short \cdot \cos (\frac{∠ Acute}{2})

Next Step Substitute values of Variables

∴

h = 8m \cdot \cos (\frac{45°}{2})

Next Step Convert Units

∴

h = 8m \cdot \cos (\frac{0.7854rad}{2})

Next Step Prepare to Evaluate

∴

h = 8 \cdot \cos (\frac{0.7854}{2})

Next Step Evaluate

∴

h = 7.39103626009052m

LAST Step Rounding Answer

∴

h = 7.391m

Height of Rhombus given Short Diagonal Formula Elements

Variables

Functions

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

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

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 Height of Rhombus

Go Height of Rhombus given Area

h = \frac{A}{S}

Go Height of Rhombus

h = S \cdot \sin (∠ Acute)

Go Height of Rhombus given Inradius

h = 2 \cdot r i

Go Height of Rhombus given Long Diagonal

h = d Long \cdot \sin (\frac{∠ Acute}{2})

How to Evaluate Height of Rhombus given Short Diagonal?

Height of Rhombus given Short Diagonal evaluator uses Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2) to evaluate the Height of Rhombus, The Height of Rhombus given Short Diagonal formula is defined as the perpendicular distance between any pair of opposite sides of the Rhombus, calculated using the short diagonal of the Rhombus. Height of Rhombus is denoted by h symbol.

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

FAQs on Height of Rhombus given Short Diagonal

What is the formula to find Height of Rhombus given Short Diagonal?

The formula of Height of Rhombus given Short Diagonal is expressed as Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2). Here is an example- 7.391036 = 8*cos(0.785398163397301/2).

How to calculate Height of Rhombus given Short Diagonal?

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

What are the other ways to Calculate Height of Rhombus?

Here are the different ways to Calculate Height of Rhombus-

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

Can the Height of Rhombus given Short Diagonal be negative?

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

Which unit is used to measure Height of Rhombus given Short Diagonal?

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

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