Short Diagonal of Rhombus given Long Diagonal and Acute Angle 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%

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

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Short Diagonal of Rhombus given Long Diagonal and Acute Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2)
d_Short = d_Long*tan(∠_Acute/2)
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(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.
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

d_Short = d_Long*tan(∠_Acute/2) --> 18*tan(0.785398163397301/2)

Evaluating ... ...

d_Short = 7.45584412271416

STEP 3: Convert Result to Output's Unit

7.45584412271416 Meter --> No Conversion Required

FINAL ANSWER

7.45584412271416 ≈ 7.455844 Meter <-- Short Diagonal of Rhombus

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< Short Diagonal of Rhombus Calculators

Short Diagonal of Rhombus given Long Diagonal and Acute Angle

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

Short Diagonal of Rhombus given Long Diagonal and Side

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

Short Diagonal of Rhombus given Obtuse Angle

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

Short Diagonal of Rhombus

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

< Diagonal of Rhombus Calculators

Long Diagonal of Rhombus given Short Diagonal and Acute Angle

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

Long Diagonal of Rhombus given Short Diagonal and Side

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

Long Diagonal of Rhombus

LaTeX Go Long Diagonal of Rhombus = 2*Side of Rhombus*cos(Acute Angle of Rhombus/2)

Long Diagonal of Rhombus given Area and Short Diagonal

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

Short Diagonal of Rhombus given Long Diagonal and Acute Angle Formula

LaTeX Go

Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2)
d_Short = d_Long*tan(∠_Acute/2)

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 Short Diagonal of Rhombus given Long Diagonal and Acute Angle?

Short Diagonal of Rhombus given Long Diagonal and Acute Angle calculator uses Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2) to calculate the Short Diagonal of Rhombus, Short Diagonal of Rhombus given Long Diagonal and Acute Angle is defined as the length of the line joining the obtuse angle corners, calculated using the long diagonal and acute angle of the Rhombus. Short Diagonal of Rhombus is denoted by d_Short symbol.

How to calculate Short Diagonal of Rhombus given Long Diagonal and Acute Angle using this online calculator? To use this online calculator for Short Diagonal of Rhombus given Long Diagonal and Acute Angle, enter Long Diagonal of Rhombus (d_Long) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Short Diagonal of Rhombus given Long Diagonal and Acute Angle calculation can be explained with given input values -> 7.455844 = 18*tan(0.785398163397301/2).

FAQ

What is Short Diagonal of Rhombus given Long Diagonal and Acute Angle?

Short Diagonal of Rhombus given Long Diagonal and Acute Angle is defined as the length of the line joining the obtuse angle corners, calculated using the long diagonal and acute angle of the Rhombus and is represented as d_Short = d_Long*tan(∠_Acute/2) or Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(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 Short Diagonal of Rhombus given Long Diagonal and Acute Angle?

Short Diagonal of Rhombus given Long Diagonal and Acute Angle is defined as the length of the line joining the obtuse angle corners, calculated using the long diagonal and acute angle of the Rhombus is calculated using Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2). To calculate Short Diagonal of Rhombus given Long Diagonal and Acute Angle, 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 Short Diagonal of Rhombus?

In this formula, Short Diagonal 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 -

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

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