Height of Rhombus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Rhombus = Side of Rhombus*sin(Acute Angle of Rhombus)
h = S*sin(Acute)
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Height of Rhombus - (Measured in Meter) - Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
Acute Angle of Rhombus - (Measured in Radian) - Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
STEP 1: Convert Input(s) to Base Unit
Side of Rhombus: 10 Meter --> 10 Meter No Conversion Required
Acute Angle of Rhombus: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = S*sin(∠Acute) --> 10*sin(0.785398163397301)
Evaluating ... ...
h = 7.07106781186443
STEP 3: Convert Result to Output's Unit
7.07106781186443 Meter --> No Conversion Required
FINAL ANSWER
7.07106781186443 7.071068 Meter <-- Height of Rhombus
(Calculation completed in 00.004 seconds)

Credits

Created by Sakshi Priya
Indian Institute of Technology (IIT), Roorkee
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6 Height of Rhombus Calculators

Height of Rhombus given Short Diagonal
Go Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2)
Height of Rhombus given Long Diagonal
Go Height of Rhombus = Long Diagonal of Rhombus*sin(Acute Angle of Rhombus/2)
Height of Rhombus given Perimeter
Go Height of Rhombus = Perimeter of Rhombus/4*sin(Acute Angle of Rhombus)
Height of Rhombus
Go Height of Rhombus = Side of Rhombus*sin(Acute Angle of Rhombus)
Height of Rhombus given Area
Go Height of Rhombus = Area of Rhombus/Side of Rhombus
Height of Rhombus given Inradius
Go Height of Rhombus = 2*Inradius of Rhombus

3 Height of Rhombus Calculators

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

Height of Rhombus Formula

Height of Rhombus = Side of Rhombus*sin(Acute Angle of Rhombus)
h = S*sin(Acute)

What is a Rhombus?

A Rhombus is a special case of a parallelogram. In a Rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a Rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or Rhombus diamond. The plural form of a Rhombus is Rhombi or Rhombuses.

How to Calculate Height of Rhombus?

Height of Rhombus calculator uses Height of Rhombus = Side of Rhombus*sin(Acute Angle of Rhombus) to calculate the Height of Rhombus, Height of Rhombus can be defined as the perpendicular distance between any pair of opposite sides of the Rhombus. Height of Rhombus is denoted by h symbol.

How to calculate Height of Rhombus using this online calculator? To use this online calculator for Height of Rhombus, enter Side of Rhombus (S) & Acute Angle of Rhombus (∠Acute) and hit the calculate button. Here is how the Height of Rhombus calculation can be explained with given input values -> 7.071068 = 10*sin(0.785398163397301).

FAQ

What is Height of Rhombus?
Height of Rhombus can be defined as the perpendicular distance between any pair of opposite sides of the Rhombus and is represented as h = S*sin(Acute) or Height of Rhombus = Side of Rhombus*sin(Acute Angle of Rhombus). The Side of Rhombus is the length of any of the four edges & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
How to calculate Height of Rhombus?
Height of Rhombus can be defined as the perpendicular distance between any pair of opposite sides of the Rhombus is calculated using Height of Rhombus = Side of Rhombus*sin(Acute Angle of Rhombus). To calculate Height of Rhombus, you need Side of Rhombus (S) & Acute Angle of Rhombus (∠Acute). With our tool, you need to enter the respective value for Side of Rhombus & Acute Angle of Rhombus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Height of Rhombus?
In this formula, Height of Rhombus uses Side of Rhombus & Acute Angle of Rhombus. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Height of Rhombus = Area of Rhombus/Side of Rhombus
  • Height of Rhombus = 2*Inradius of Rhombus
  • Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2)
  • Height of Rhombus = Long Diagonal of Rhombus*sin(Acute Angle of Rhombus/2)
  • Height of Rhombus = Perimeter of Rhombus/4*sin(Acute Angle of Rhombus)
  • Height of Rhombus = Area of Rhombus/Side of Rhombus
  • Height of Rhombus = 2*Inradius of Rhombus
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