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Short Diagonal of Rhombus given Obtuse Angle Formula

GoShort Diagonal of Rhombus Formula

GoShort Diagonal of Rhombus given Long Diagonal and Acute Angle 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 = 2 \cdot S \cdot \cos (\frac{∠ Obtuse}{2})

d_Short - Short Diagonal of Rhombus?S - Side of Rhombus?∠_Obtuse - Obtuse Angle of Rhombus?

Short Diagonal of Rhombus given Obtuse Angle Example

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

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

Here is how the Short Diagonal of Rhombus given Obtuse Angle equation looks like.

7.6537 = 2 \cdot 10 \cdot \cos (\frac{135}{2})

7.6537m = 2 \cdot 10m \cdot \cos (\frac{135°}{2})

7.6537 = 2 \cdot 10 \cdot \cos (\frac{135}{2})

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Short Diagonal of Rhombus given Obtuse Angle Solution

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

FIRST Step Consider the formula

d Short = 2 \cdot S \cdot \cos (\frac{∠ Obtuse}{2})

Next Step Substitute values of Variables

∴

d Short = 2 \cdot 10m \cdot \cos (\frac{135°}{2})

Next Step Convert Units

∴

d Short = 2 \cdot 10m \cdot \cos (\frac{2.3562rad}{2})

Next Step Prepare to Evaluate

∴

d Short = 2 \cdot 10 \cdot \cos (\frac{2.3562}{2})

Next Step Evaluate

∴

d Short = 7.65366864730591m

LAST Step Rounding Answer

∴

d Short = 7.6537m

Short Diagonal of Rhombus given Obtuse 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

Side of Rhombus

The Side of Rhombus is the length of any of the four edges.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Rhombus

Obtuse Angle of Rhombus

Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

Symbol: ∠_Obtuse

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse Angle of Rhombus

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 Long Diagonal and Acute Angle

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

Go Short Diagonal of Rhombus given Long Diagonal and Side

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

Go Short Diagonal of Rhombus given Area and Long Diagonal

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

How to Evaluate Short Diagonal of Rhombus given Obtuse Angle?

Short Diagonal of Rhombus given Obtuse Angle evaluator uses Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2) to evaluate the Short Diagonal of Rhombus, Short Diagonal of Rhombus given Obtuse Angle is defined as the length of the line joining the obtuse angle corners of the Rhombus, calculated using the obtuse angle of the Rhombus. Short Diagonal of Rhombus is denoted by d_Short symbol.

How to evaluate Short Diagonal of Rhombus given Obtuse Angle using this online evaluator? To use this online evaluator for Short Diagonal of Rhombus given Obtuse Angle, enter Side of Rhombus (S) & Obtuse Angle of Rhombus (∠_Obtuse) and hit the calculate button.

FAQs on Short Diagonal of Rhombus given Obtuse Angle

What is the formula to find Short Diagonal of Rhombus given Obtuse Angle?

The formula of Short Diagonal of Rhombus given Obtuse Angle is expressed as Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2). Here is an example- 7.653669 = 2*10*cos(2.3561944901919/2).

How to calculate Short Diagonal of Rhombus given Obtuse Angle?

With Side of Rhombus (S) & Obtuse Angle of Rhombus (∠_Obtuse) we can find Short Diagonal of Rhombus given Obtuse Angle using the formula - Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2). This formula also uses Cosine (cos) 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=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)

Can the Short Diagonal of Rhombus given Obtuse Angle be negative?

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

Which unit is used to measure Short Diagonal of Rhombus given Obtuse Angle?

Short Diagonal of Rhombus given Obtuse 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 Obtuse Angle can be measured.

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