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Short Diagonal of Rhombus given Height Formula

GoShort Diagonal of Rhombus given Obtuse Angle Formula

GoShort Diagonal of Rhombus 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 = \frac{h}{\cos (\frac{∠ Acute}{2})}

d_Short - Short Diagonal of Rhombus?h - Height of Rhombus?∠_Acute - Acute Angle of Rhombus?

Short Diagonal of Rhombus given Height Example

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

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

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

7.5767 = \frac{7}{\cos (\frac{45}{2})}

7.5767m = \frac{7m}{\cos (\frac{45°}{2})}

7.5767 = \frac{7}{\cos (\frac{45}{2})}

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Short Diagonal of Rhombus given Height Solution

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

FIRST Step Consider the formula

d Short = \frac{h}{\cos (\frac{∠ Acute}{2})}

Next Step Substitute values of Variables

∴

d Short = \frac{7m}{\cos (\frac{45°}{2})}

Next Step Convert Units

∴

d Short = \frac{7m}{\cos (\frac{0.7854rad}{2})}

Next Step Prepare to Evaluate

∴

d Short = \frac{7}{\cos (\frac{0.7854}{2})}

Next Step Evaluate

∴

d Short = 7.57674540204653m

LAST Step Rounding Answer

∴

d Short = 7.5767m

Short Diagonal of Rhombus given Height 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

Height of Rhombus

Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

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 given Obtuse Angle

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

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}}

How to Evaluate Short Diagonal of Rhombus given Height?

Short Diagonal of Rhombus given Height evaluator uses Short Diagonal of Rhombus = Height of Rhombus/cos(Acute Angle of Rhombus/2) to evaluate 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 evaluate Short Diagonal of Rhombus given Height using this online evaluator? To use this online evaluator for Short Diagonal of Rhombus given Height, enter Height of Rhombus (h) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button.

FAQs on Short Diagonal of Rhombus given Height

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

The formula of Short Diagonal of Rhombus given Height is expressed as Short Diagonal of Rhombus = Height of Rhombus/cos(Acute Angle of Rhombus/2). Here is an example- 7.576745 = 7/cos(0.785398163397301/2).

How to calculate Short Diagonal of Rhombus given Height?

With Height of Rhombus (h) & Acute Angle of Rhombus (∠_Acute) we can find Short Diagonal of Rhombus given Height using the formula - Short Diagonal of Rhombus = Height of Rhombus/cos(Acute 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*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)

Can the Short Diagonal of Rhombus given Height be negative?

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

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

Short Diagonal of Rhombus given Height 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 Height can be measured.

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