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Short Diagonal of Rhombus given Long Diagonal and Acute Angle Formula

GoShort Diagonal of Rhombus Formula

GoShort Diagonal of Rhombus given Area and Long Diagonal Formula

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A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus. Check FAQs

d Short = d Long \cdot \tan (\frac{∠ Acute}{2})

d_Short - Short Diagonal of Rhombus?d_Long - Long Diagonal of Rhombus?∠_Acute - Acute Angle of Rhombus?

Short Diagonal of Rhombus given Long Diagonal and Acute Angle Example

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Here is how the Short Diagonal of Rhombus given Long Diagonal and Acute Angle equation looks like with Values.

Here is how the Short Diagonal of Rhombus given Long Diagonal and Acute Angle equation looks like with Units.

Here is how the Short Diagonal of Rhombus given Long Diagonal and Acute Angle equation looks like.

7.4558 = 18 \cdot \tan (\frac{45}{2})

7.4558m = 18m \cdot \tan (\frac{45°}{2})

7.4558 = 18 \cdot \tan (\frac{45}{2})

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Short Diagonal of Rhombus given Long Diagonal and Acute Angle Solution

Follow our step by step solution on how to calculate Short Diagonal of Rhombus given Long Diagonal and Acute Angle?

FIRST Step Consider the formula

d Short = d Long \cdot \tan (\frac{∠ Acute}{2})

Next Step Substitute values of Variables

∴

d Short = 18m \cdot \tan (\frac{45°}{2})

Next Step Convert Units

∴

d Short = 18m \cdot \tan (\frac{0.7854rad}{2})

Next Step Prepare to Evaluate

∴

d Short = 18 \cdot \tan (\frac{0.7854}{2})

Next Step Evaluate

∴

d Short = 7.45584412271416m

LAST Step Rounding Answer

∴

d Short = 7.4558m

Short Diagonal of Rhombus given Long Diagonal and Acute Angle Formula Elements

Variables

Functions

Short Diagonal of Rhombus

A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Rhombus

Long Diagonal of Rhombus

The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Rhombus

Acute Angle of Rhombus

Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Rhombus

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.

Syntax: tan(Angle)

Other Formulas to find Short Diagonal of Rhombus

Go Short Diagonal of Rhombus

d Short = 2 \cdot S \cdot \sin (\frac{∠ Acute}{2})

Go Short Diagonal of Rhombus given Area and Long Diagonal

d Short = \frac{2 \cdot A}{d Long}

Go Short Diagonal of Rhombus given Long Diagonal and Side

d Short = \sqrt{4 \cdot S^{2} - {d Long}^{2}}

Other formulas in Short Diagonal of Rhombus category

Go Long Diagonal of Rhombus

d Long = 2 \cdot S \cdot \cos (\frac{∠ Acute}{2})

Go Long Diagonal of Rhombus given Area and Short Diagonal

d Long = \frac{2 \cdot A}{d Short}

Go Long Diagonal of Rhombus given Short Diagonal and Acute Angle

d Long = \frac{d Short}{\tan (\frac{∠ Acute}{2})}

Go Long Diagonal of Rhombus given Short Diagonal and Side

d Long = \sqrt{4 \cdot S^{2} - {d Short}^{2}}

How to Evaluate Short Diagonal of Rhombus given Long Diagonal and Acute Angle?

Short Diagonal of Rhombus given Long Diagonal and Acute Angle evaluator uses Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2) to evaluate 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 evaluate Short Diagonal of Rhombus given Long Diagonal and Acute Angle using this online evaluator? To use this online evaluator 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.

FAQs on Short Diagonal of Rhombus given Long Diagonal and Acute Angle

What is the formula to find Short Diagonal of Rhombus given Long Diagonal and Acute Angle?

The formula of Short Diagonal of Rhombus given Long Diagonal and Acute Angle is expressed as Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2). Here is an example- 7.455844 = 18*tan(0.785398163397301/2).

How to calculate Short Diagonal of Rhombus given Long Diagonal and Acute Angle?

With Long Diagonal of Rhombus (d_Long) & Acute Angle of Rhombus (∠_Acute) we can find Short Diagonal of Rhombus given Long Diagonal and Acute Angle using the formula - Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Short Diagonal of Rhombus?

Here are the different ways to Calculate Short Diagonal of Rhombus-

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

Can the Short Diagonal of Rhombus given Long Diagonal and Acute Angle be negative?

No, the Short Diagonal of Rhombus given Long Diagonal and Acute Angle, measured in Length cannot be negative.

Which unit is used to measure Short Diagonal of Rhombus given Long Diagonal and Acute Angle?

Short Diagonal of Rhombus given Long Diagonal and Acute Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Short Diagonal of Rhombus given Long Diagonal and Acute Angle can be measured.

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