Height of Rhombus given Short Diagonal Calculator

✖A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.ⓘ Short Diagonal of Rhombus [d_Short]			+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 Short Diagonal [h]

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Formula

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Height of Rhombus given Short Diagonal

Formula

`"h" = "d"_{"Short"}*cos("∠"_{"Acute"}/2)`

Example

`"7.391036m"="8m"*cos("45°"/2)`

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Height of Rhombus given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2)
h = d_Short*cos(∠_Acute/2)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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.
Short Diagonal of Rhombus - (Measured in Meter) - A Short Diagonal of Rhombus is a length of the line joining the obtuse 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

Short Diagonal of Rhombus: 8 Meter --> 8 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_Short*cos(∠_Acute/2) --> 8*cos(0.785398163397301/2)

Evaluating ... ...

h = 7.39103626009052

STEP 3: Convert Result to Output's Unit

7.39103626009052 Meter --> No Conversion Required

FINAL ANSWER

7.39103626009052 ≈ 7.391036 Meter <-- Height of Rhombus

(Calculation completed in 00.021 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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< 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

Height of Rhombus given Short Diagonal Formula

Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2)
h = d_Short*cos(∠_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 Short Diagonal?

Height of Rhombus given Short Diagonal calculator uses Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2) to calculate 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 calculate Height of Rhombus given Short Diagonal using this online calculator? To use this online calculator for Height of Rhombus given Short Diagonal, enter Short Diagonal of Rhombus (d_Short) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Height of Rhombus given Short Diagonal calculation can be explained with given input values -> 7.391036 = 8*cos(0.785398163397301/2).

FAQ

What is Height of Rhombus given Short Diagonal?

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 and is represented as h = d_Short*cos(∠_Acute/2) or Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2). A Short Diagonal of Rhombus is a length of the line joining the obtuse 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 Short Diagonal?

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 is calculated using Height of Rhombus = Short Diagonal of Rhombus*cos(Acute Angle of Rhombus/2). To calculate Height of Rhombus given Short Diagonal, you need Short Diagonal of Rhombus (d_Short) & Acute Angle of Rhombus (∠_Acute). With our tool, you need to enter the respective value for Short 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 Short Diagonal of Rhombus & Acute Angle of Rhombus. We can use 5 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
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)

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