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Short Diagonal of Trapezoid given Long Diagonal Formula

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GoShort Diagonal of Trapezoid given all Sides 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{h \cdot (B Long + B Short)}{d Long \cdot \sin (∠ d(Leg))}

d_Short - Short Diagonal of Trapezoid?h - Height of Trapezoid?B_Long - Long Base of Trapezoid?B_Short - Short Base of Trapezoid?d_Long - Long Diagonal of Trapezoid?∠_d(Leg) - Leg Angle between Diagonals of Trapezoid?

Short Diagonal of Trapezoid given Long Diagonal Example

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

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

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

11.6049 = \frac{8 \cdot (15 + 5)}{14 \cdot \sin (80)}

11.6049m = \frac{8m \cdot (15m + 5m)}{14m \cdot \sin (80°)}

11.6049 = \frac{8 \cdot (15 + 5)}{14 \cdot \sin (80)}

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Short Diagonal of Trapezoid given Long Diagonal Solution

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

FIRST Step Consider the formula

d Short = \frac{h \cdot (B Long + B Short)}{d Long \cdot \sin (∠ d(Leg))}

Next Step Substitute values of Variables

∴

d Short = \frac{8m \cdot (15m + 5m)}{14m \cdot \sin (80°)}

Next Step Convert Units

∴

d Short = \frac{8m \cdot (15m + 5m)}{14m \cdot \sin (1.3963rad)}

Next Step Prepare to Evaluate

∴

d Short = \frac{8 \cdot (15 + 5)}{14 \cdot \sin (1.3963)}

Next Step Evaluate

∴

d Short = 11.6048755644091m

LAST Step Rounding Answer

∴

d Short = 11.6049m

Short Diagonal of Trapezoid given 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

Height of Trapezoid

Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Trapezoid

Long Base of Trapezoid

Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Trapezoid

Short Base of Trapezoid

Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base 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 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})}

Other formulas in Short Diagonal of Trapezoid category

Go Long Diagonal of Trapezoid

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

Go Long Diagonal of Trapezoid given all Sides

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

Go Long Diagonal of Trapezoid given Short Diagonal

d Long = \frac{h \cdot (B Long + B Short)}{d Short \cdot \sin (∠ d(Leg))}

How to Evaluate Short Diagonal of Trapezoid given Long Diagonal?

Short Diagonal of Trapezoid given Long Diagonal evaluator uses Short Diagonal of Trapezoid = (Height of Trapezoid*(Long Base of Trapezoid+Short Base 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 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 long diagonal of the Trapezoid. Short Diagonal of Trapezoid is denoted by d_Short symbol.

How to evaluate Short Diagonal of Trapezoid given Long Diagonal using this online evaluator? To use this online evaluator for Short Diagonal of Trapezoid given Long Diagonal, enter Height of Trapezoid (h), Long Base of Trapezoid (B_Long), Short Base of Trapezoid (B_Short), 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 Long Diagonal

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

The formula of Short Diagonal of Trapezoid given Long Diagonal is expressed as Short Diagonal of Trapezoid = (Height of Trapezoid*(Long Base of Trapezoid+Short Base of Trapezoid))/(Long Diagonal of Trapezoid*sin(Leg Angle between Diagonals of Trapezoid)). Here is an example- 11.60488 = (8*(15+5))/(14*sin(1.3962634015952)).

How to calculate Short Diagonal of Trapezoid given Long Diagonal?

With Height of Trapezoid (h), Long Base of Trapezoid (B_Long), Short Base of Trapezoid (B_Short), Long Diagonal of Trapezoid (d_Long) & Leg Angle between Diagonals of Trapezoid (∠_d(Leg)) we can find Short Diagonal of Trapezoid given Long Diagonal using the formula - Short Diagonal of Trapezoid = (Height of Trapezoid*(Long Base of Trapezoid+Short Base 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(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 Long Diagonal be negative?

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

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

Short Diagonal of Trapezoid given 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 Long Diagonal can be measured.

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Short Diagonal of Trapezoid given Long Diagonal Formula

​GoShort Diagonal of Trapezoid Formula

​GoShort Diagonal of Trapezoid given all Sides Formula

Short Diagonal of Trapezoid given Long Diagonal Example

Short Diagonal of Trapezoid given Long Diagonal Solution

Short Diagonal of Trapezoid given Long Diagonal Formula Elements

Other Formulas to find Short Diagonal of Trapezoid

Other formulas in Short Diagonal of Trapezoid category

How to Evaluate Short Diagonal of Trapezoid given Long Diagonal?

FAQs on Short Diagonal of Trapezoid given Long Diagonal

Variable Name

GoShort Diagonal of Trapezoid Formula

GoShort Diagonal of Trapezoid given all Sides Formula