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Short Diagonal of Trapezoid given Area and Long Diagonal Formula

GoShort Diagonal of Trapezoid Formula

GoShort Diagonal of Trapezoid given Short Leg Formula

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Short Diagonal of Trapezoid is the length of the line joining the corners of larger acute angle and larger obtuse angle of the Trapezoid. Check FAQs

d Short = \frac{2 \cdot A}{d Long \cdot \sin (∠ d(Leg))}

d_Short - Short Diagonal of Trapezoid?A - Area of Trapezoid?d_Long - Long Diagonal of Trapezoid?∠_d(Leg) - Leg Angle between Diagonals of Trapezoid?

Short Diagonal of Trapezoid given Area and Long Diagonal Example

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

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

Here is how the Short Diagonal of Trapezoid given Area and Long Diagonal equation looks like.

12.3302 = \frac{2 \cdot 85}{14 \cdot \sin (80)}

12.3302m = \frac{2 \cdot 85m²}{14m \cdot \sin (80°)}

12.3302 = \frac{2 \cdot 85}{14 \cdot \sin (80)}

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Short Diagonal of Trapezoid given Area and Long Diagonal Solution

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

FIRST Step Consider the formula

d Short = \frac{2 \cdot A}{d Long \cdot \sin (∠ d(Leg))}

Next Step Substitute values of Variables

∴

d Short = \frac{2 \cdot 85m²}{14m \cdot \sin (80°)}

Next Step Convert Units

∴

d Short = \frac{2 \cdot 85m²}{14m \cdot \sin (1.3963rad)}

Next Step Prepare to Evaluate

∴

d Short = \frac{2 \cdot 85}{14 \cdot \sin (1.3963)}

Next Step Evaluate

∴

d Short = 12.3301802871846m

LAST Step Rounding Answer

∴

d Short = 12.3302m

Short Diagonal of Trapezoid given Area and Long Diagonal Formula Elements

Variables

Functions

Short Diagonal of Trapezoid

Short Diagonal of Trapezoid is the length of the line joining the corners of larger acute angle and larger obtuse angle of the Trapezoid.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Trapezoid

Area of Trapezoid

Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Trapezoid

Long Diagonal of Trapezoid

Long Diagonal of Trapezoid is the length of the line joining the corners of smaller acute angle and smaller obtuse angle of the Trapezoid.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Trapezoid

Leg Angle between Diagonals of Trapezoid

Leg Angle between Diagonals of Trapezoid is the angle made by the diagonals of the Trapezoid which is near to any of the pair of non parallel and opposite legs of the Trapezoid.

Symbol: ∠_d(Leg)

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Leg Angle between Diagonals of Trapezoid

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Short Diagonal of Trapezoid

Go Short Diagonal of Trapezoid

d Short = \sqrt{{B Long}^{2} + {L Long}^{2} - (2 \cdot B Long \cdot L Long \cdot \cos (∠ Smaller Acute))}

Go Short Diagonal of Trapezoid given Short Leg

d Short = \sqrt{{B Short}^{2} + {L Short}^{2} - (2 \cdot B Short \cdot L Short \cdot \cos (∠ Smaller Obtuse))}

Go Short Diagonal of Trapezoid given all Sides

d Short = \sqrt{{L Long}^{2} + (B Short \cdot B Long) - (B Long \cdot \frac{{L Long}^{2} - {L Short}^{2}}{B Long - B Short})}

Go Short Diagonal of Trapezoid given Height

d Short = \sqrt{h^{2} + {(B Long - (h \cdot \cot (∠ Smaller Acute)))}^{2}}

How to Evaluate Short Diagonal of Trapezoid given Area and Long Diagonal?

Short Diagonal of Trapezoid given Area and Long Diagonal evaluator uses Short Diagonal of Trapezoid = (2*Area of Trapezoid)/(Long Diagonal of Trapezoid*sin(Leg Angle between Diagonals of Trapezoid)) to evaluate the Short Diagonal of Trapezoid, Short Diagonal of Trapezoid given Area and Long Diagonal formula is defined as the length of the line joining the corners of larger acute angle and larger obtuse angle of the Trapezoid, and calculated using area, and long diagonal of the Trapezoid. Short Diagonal of Trapezoid is denoted by d_Short symbol.

How to evaluate Short Diagonal of Trapezoid given Area and Long Diagonal using this online evaluator? To use this online evaluator for Short Diagonal of Trapezoid given Area and Long Diagonal, enter Area of Trapezoid (A), Long Diagonal of Trapezoid (d_Long) & Leg Angle between Diagonals of Trapezoid (∠_d(Leg)) and hit the calculate button.

FAQs on Short Diagonal of Trapezoid given Area and Long Diagonal

What is the formula to find Short Diagonal of Trapezoid given Area and Long Diagonal?

The formula of Short Diagonal of Trapezoid given Area and Long Diagonal is expressed as Short Diagonal of Trapezoid = (2*Area of Trapezoid)/(Long Diagonal of Trapezoid*sin(Leg Angle between Diagonals of Trapezoid)). Here is an example- 12.33018 = (2*85)/(14*sin(1.3962634015952)).

How to calculate Short Diagonal of Trapezoid given Area and Long Diagonal?

With Area of Trapezoid (A), Long Diagonal of Trapezoid (d_Long) & Leg Angle between Diagonals of Trapezoid (∠_d(Leg)) we can find Short Diagonal of Trapezoid given Area and Long Diagonal using the formula - Short Diagonal of Trapezoid = (2*Area of Trapezoid)/(Long Diagonal of Trapezoid*sin(Leg Angle between Diagonals of Trapezoid)). This formula also uses Sine (sin) function(s).

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

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

Short Diagonal of Trapezoid=sqrt(Long Base of Trapezoid^2+Long Leg of Trapezoid^2-(2*Long Base of Trapezoid*Long Leg of Trapezoid*cos(Smaller Acute Angle of Trapezoid)))
Short Diagonal of Trapezoid=sqrt(Short Base of Trapezoid^2+Short Leg of Trapezoid^2-(2*Short Base of Trapezoid*Short Leg of Trapezoid*cos(Smaller Obtuse Angle of Trapezoid)))
Short Diagonal of Trapezoid=sqrt(Long Leg of Trapezoid^2+(Short Base of Trapezoid*Long Base of Trapezoid)-(Long Base of Trapezoid*(Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(Long Base of Trapezoid-Short Base of Trapezoid)))

Can the Short Diagonal of Trapezoid given Area and Long Diagonal be negative?

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

Which unit is used to measure Short Diagonal of Trapezoid given Area and Long Diagonal?

Short Diagonal of Trapezoid given Area and Long Diagonal 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 Trapezoid given Area and Long Diagonal can be measured.

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Short Diagonal of Trapezoid given Area and Long Diagonal Formula

​GoShort Diagonal of Trapezoid Formula

​GoShort Diagonal of Trapezoid given Short Leg Formula

Short Diagonal of Trapezoid given Area and Long Diagonal Example

Short Diagonal of Trapezoid given Area and Long Diagonal Solution

Short Diagonal of Trapezoid given Area and Long Diagonal Formula Elements

Other Formulas to find Short Diagonal of Trapezoid

How to Evaluate Short Diagonal of Trapezoid given Area and Long Diagonal?

FAQs on Short Diagonal of Trapezoid given Area and Long Diagonal

Variable Name

GoShort Diagonal of Trapezoid Formula

GoShort Diagonal of Trapezoid given Short Leg Formula