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Long Diagonal of Rhombus given Short Diagonal and Side Formula

GoLong Diagonal of Rhombus Formula

GoLong Diagonal of Rhombus given Area and Short Diagonal Formula

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

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

d_Long - Long Diagonal of Rhombus?S - Side of Rhombus?d_Short - Short Diagonal of Rhombus?

Long Diagonal of Rhombus given Short Diagonal and Side Example

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

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

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

18.3303 = \sqrt{4 \cdot 10^{2} - 8^{2}}

18.3303m = \sqrt{4 \cdot {10m}^{2} - {8m}^{2}}

18.3303 = \sqrt{4 \cdot 10^{2} - 8^{2}}

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Long Diagonal of Rhombus given Short Diagonal and Side Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = \sqrt{4 \cdot {10m}^{2} - {8m}^{2}}

Next Step Prepare to Evaluate

∴

d Long = \sqrt{4 \cdot 10^{2} - 8^{2}}

Next Step Evaluate

∴

d Long = 18.3303027798234m

LAST Step Rounding Answer

∴

d Long = 18.3303m

Long Diagonal of Rhombus given Short Diagonal and Side Formula Elements

Variables

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Long Diagonal of Rhombus

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})}

Other formulas in Long Diagonal of Rhombus category

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 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 Long Diagonal of Rhombus given Short Diagonal and Side?

Long Diagonal of Rhombus given Short Diagonal and Side evaluator uses Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2) to evaluate the Long Diagonal of Rhombus, Long Diagonal of Rhombus given Short Diagonal and Side is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the short diagonal and side of the Rhombus. Long Diagonal of Rhombus is denoted by d_Long symbol.

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

FAQs on Long Diagonal of Rhombus given Short Diagonal and Side

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

The formula of Long Diagonal of Rhombus given Short Diagonal and Side is expressed as Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2). Here is an example- 18.3303 = sqrt(4*10^2-8^2).

How to calculate Long Diagonal of Rhombus given Short Diagonal and Side?

With Side of Rhombus (S) & Short Diagonal of Rhombus (d_Short) we can find Long Diagonal of Rhombus given Short Diagonal and Side using the formula - Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

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

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

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

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Long Diagonal of Rhombus given Short Diagonal and Side Formula

​GoLong Diagonal of Rhombus Formula

​GoLong Diagonal of Rhombus given Area and Short Diagonal Formula

Long Diagonal of Rhombus given Short Diagonal and Side Example

Long Diagonal of Rhombus given Short Diagonal and Side Solution

Long Diagonal of Rhombus given Short Diagonal and Side Formula Elements

Other Formulas to find Long Diagonal of Rhombus

Other formulas in Long Diagonal of Rhombus category

How to Evaluate Long Diagonal of Rhombus given Short Diagonal and Side?

FAQs on Long Diagonal of Rhombus given Short Diagonal and Side

Variable Name

GoLong Diagonal of Rhombus Formula

GoLong Diagonal of Rhombus given Area and Short Diagonal Formula