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Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side. Check FAQs
h=P4sin(Acute)
h - Height of Rhombus?P - Perimeter of Rhombus?Acute - Acute Angle of Rhombus?

Height of Rhombus given Perimeter Example

With values
With units
Only example

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.

7.0711Edit=40Edit4sin(45Edit)
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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=P4sin(Acute)
Next Step Substitute values of Variables
h=40m4sin(45°)
Next Step Convert Units
h=40m4sin(0.7854rad)
Next Step Prepare to Evaluate
h=404sin(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.
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.
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.
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=AS
​Go Height of Rhombus
h=Ssin(Acute)
​Go Height of Rhombus given Inradius
h=2ri
​Go Height of Rhombus given Short Diagonal
h=dShortcos(Acute2)

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 (sin) 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 RhombusOpenImg
  • Height of Rhombus=Side of Rhombus*sin(Acute Angle of Rhombus)OpenImg
  • Height of Rhombus=2*Inradius of RhombusOpenImg
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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