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Height of Rhombus given Perimeter 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 = \frac{P}{4} \cdot \sin (∠ Acute)

h - Height of Rhombus?P - Perimeter of Rhombus?∠_Acute - Acute Angle of Rhombus?

Height of Rhombus given Perimeter Example

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

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

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

7.0711 = \frac{40}{4} \cdot \sin (45)

7.0711m = \frac{40m}{4} \cdot \sin (45°)

7.0711 = \frac{40}{4} \cdot \sin (45)

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Height of Rhombus given Perimeter Solution

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

FIRST Step Consider the formula

h = \frac{P}{4} \cdot \sin (∠ Acute)

Next Step Substitute values of Variables

∴

h = \frac{40m}{4} \cdot \sin (45°)

Next Step Convert Units

∴

h = \frac{40m}{4} \cdot \sin (0.7854rad)

Next Step Prepare to Evaluate

∴

h = \frac{40}{4} \cdot \sin (0.7854)

Next Step Evaluate

∴

h = 7.07106781186443m

LAST Step Rounding Answer

∴

h = 7.0711m

Height of Rhombus given Perimeter 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

Perimeter of Rhombus

The Perimeter of Rhombus is the total distance around the edge of the Rhombus.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 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 Short Diagonal

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

How to Evaluate Height of Rhombus given Perimeter?

Height of Rhombus given Perimeter evaluator uses Height of Rhombus = Perimeter of Rhombus/4*sin(Acute Angle of Rhombus) to evaluate the Height of Rhombus, The Height of Rhombus given Perimeter formula is defined as the perpendicular distance between any pair of opposite sides of the Rhombus, calculated using the perimeter of the Rhombus. Height of Rhombus is denoted by h symbol.

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

FAQs on Height of Rhombus given Perimeter

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

The formula of Height of Rhombus given Perimeter is expressed as Height of Rhombus = Perimeter of Rhombus/4*sin(Acute Angle of Rhombus). Here is an example- 7.071068 = 40/4*sin(0.785398163397301).

How to calculate Height of Rhombus given Perimeter?

With Perimeter of Rhombus (P) & Acute Angle of Rhombus (∠_Acute) we can find Height of Rhombus given Perimeter using the formula - Height of Rhombus = Perimeter of Rhombus/4*sin(Acute Angle of Rhombus). This formula also uses Sine 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 Perimeter be negative?

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

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

Height of Rhombus given Perimeter 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 Perimeter can be measured.

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