Height of Rhombus given Long Diagonal Calculator

✖The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.ⓘ Long Diagonal of Rhombus [d_Long]			+10% -10%
✖Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.ⓘ Acute Angle of Rhombus [∠_Acute]			+10% -10%

✖Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.ⓘ Height of Rhombus given Long Diagonal [h]

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Height of Rhombus given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Rhombus = Long Diagonal of Rhombus*sin(Acute Angle of Rhombus/2)
h = d_Long*sin(∠_Acute/2)
This formula uses 1 Functions, 3 Variables

Functions Used

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., 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.
Long Diagonal of Rhombus - (Measured in Meter) - The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.
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

Long Diagonal of Rhombus: 18 Meter --> 18 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 = d_Long*sin(∠_Acute/2) --> 18*sin(0.785398163397301/2)

Evaluating ... ...

h = 6.88830178257039

STEP 3: Convert Result to Output's Unit

6.88830178257039 Meter --> No Conversion Required

FINAL ANSWER

6.88830178257039 ≈ 6.888302 Meter <-- Height of Rhombus

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Height of Rhombus Calculators

Height of Rhombus given Short Diagonal

LaTeX Go Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2)

Height of Rhombus

LaTeX Go Height of Rhombus = Side of Rhombus*sin(Acute Angle of Rhombus)

Height of Rhombus given Area

LaTeX Go Height of Rhombus = Area of Rhombus/Side of Rhombus

Height of Rhombus given Inradius

LaTeX Go Height of Rhombus = 2*Inradius of Rhombus

Height of Rhombus given Long Diagonal Formula

LaTeX Go

Height of Rhombus = Long Diagonal of Rhombus*sin(Acute Angle of Rhombus/2)
h = d_Long*sin(∠_Acute/2)

What is 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 given Long Diagonal?

Height of Rhombus given Long Diagonal calculator uses Height of Rhombus = Long Diagonal of Rhombus*sin(Acute Angle of Rhombus/2) to calculate the Height of Rhombus, The Height of Rhombus given Long Diagonal formula is defined as the perpendicular distance between any pair of opposite sides of the Rhombus, calculated using the long diagonal of the Rhombus. Height of Rhombus is denoted by h symbol.

How to calculate Height of Rhombus given Long Diagonal using this online calculator? To use this online calculator for Height of Rhombus given Long Diagonal, enter Long Diagonal of Rhombus (d_Long) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Height of Rhombus given Long Diagonal calculation can be explained with given input values -> 6.888302 = 18*sin(0.785398163397301/2).

FAQ

What is Height of Rhombus given Long Diagonal?

The Height of Rhombus given Long Diagonal formula is defined as the perpendicular distance between any pair of opposite sides of the Rhombus, calculated using the long diagonal of the Rhombus and is represented as h = d_Long*sin(∠_Acute/2) or Height of Rhombus = Long Diagonal of Rhombus*sin(Acute Angle of Rhombus/2). The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

How to calculate Height of Rhombus given Long Diagonal?

The Height of Rhombus given Long Diagonal formula is defined as the perpendicular distance between any pair of opposite sides of the Rhombus, calculated using the long diagonal of the Rhombus is calculated using Height of Rhombus = Long Diagonal of Rhombus*sin(Acute Angle of Rhombus/2). To calculate Height of Rhombus given Long Diagonal, you need Long Diagonal of Rhombus (d_Long) & Acute Angle of Rhombus (∠_Acute). With our tool, you need to enter the respective value for Long Diagonal 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 Long Diagonal of Rhombus & Acute Angle of Rhombus. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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