Short Diagonal of Rhombus given Height Calculator

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

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

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Formula

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Short Diagonal of Rhombus given Height

Formula

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

Example

`"7.576745m"="7m"/cos("45°"/2)`

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Short Diagonal of Rhombus given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Rhombus = Height of Rhombus/cos(Acute Angle of Rhombus/2)
d_Short = h/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

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.
Height of Rhombus - (Measured in Meter) - Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.
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

Height of Rhombus: 7 Meter --> 7 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

d_Short = h/cos(∠_Acute/2) --> 7/cos(0.785398163397301/2)

Evaluating ... ...

d_Short = 7.57674540204653

STEP 3: Convert Result to Output's Unit

7.57674540204653 Meter --> No Conversion Required

FINAL ANSWER

7.57674540204653 ≈ 7.576745 Meter <-- Short Diagonal 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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< 9 Short Diagonal of Rhombus Calculators

Short Diagonal of Rhombus given Area

Go Short Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*cos(Acute Angle of Rhombus/2))

Short Diagonal of Rhombus given Long Diagonal and Acute Angle

Go Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2)

Short Diagonal of Rhombus given Inradius

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

Short Diagonal of Rhombus given Long Diagonal and Side

Go Short Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Long Diagonal of Rhombus^2)

Short Diagonal of Rhombus given Perimeter

Go Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(Acute Angle of Rhombus/2)

Short Diagonal of Rhombus given Obtuse Angle

Go Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2)

Short Diagonal of Rhombus given Height

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

Short Diagonal of Rhombus

Go Short Diagonal of Rhombus = 2*Side of Rhombus*sin(Acute Angle of Rhombus/2)

Short Diagonal of Rhombus given Area and Long Diagonal

Go Short Diagonal of Rhombus = (2*Area of Rhombus)/(Long Diagonal of Rhombus)

Short Diagonal of Rhombus given Height Formula

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

Short Diagonal of Rhombus given Height calculator uses Short Diagonal of Rhombus = Height of Rhombus/cos(Acute Angle of Rhombus/2) to calculate the Short Diagonal of Rhombus, The Short Diagonal of Rhombus given Height formula is defined as the line joining the obtuse angle corners, calculated using the height of the Rhombus. Short Diagonal of Rhombus is denoted by d_Short symbol.

How to calculate Short Diagonal of Rhombus given Height using this online calculator? To use this online calculator for Short Diagonal of Rhombus given Height, enter Height of Rhombus (h) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Short Diagonal of Rhombus given Height calculation can be explained with given input values -> 7.576745 = 7/cos(0.785398163397301/2).

FAQ

What is Short Diagonal of Rhombus given Height?

The Short Diagonal of Rhombus given Height formula is defined as the line joining the obtuse angle corners, calculated using the height of the Rhombus and is represented as d_Short = h/cos(∠_Acute/2) or Short Diagonal of Rhombus = Height of Rhombus/cos(Acute Angle of Rhombus/2). Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

How to calculate Short Diagonal of Rhombus given Height?

The Short Diagonal of Rhombus given Height formula is defined as the line joining the obtuse angle corners, calculated using the height of the Rhombus is calculated using Short Diagonal of Rhombus = Height of Rhombus/cos(Acute Angle of Rhombus/2). To calculate Short Diagonal of Rhombus given Height, you need Height of Rhombus (h) & Acute Angle of Rhombus (∠_Acute). With our tool, you need to enter the respective value for Height 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 Short Diagonal of Rhombus?

In this formula, Short Diagonal of Rhombus uses Height of Rhombus & Acute Angle of Rhombus. We can use 8 other way(s) to calculate the same, which is/are as follows -

Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2)
Short Diagonal of Rhombus = 2*Side of Rhombus*sin(Acute Angle of Rhombus/2)
Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2)
Short Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Long Diagonal of Rhombus^2)
Short Diagonal of Rhombus = (2*Area of Rhombus)/(Long Diagonal of Rhombus)
Short Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*cos(Acute Angle of Rhombus/2))
Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(Acute Angle of Rhombus/2)
Short Diagonal of Rhombus = (2*Inradius of Rhombus)/cos(Acute Angle of Rhombus/2)

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