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Short Diagonal of Trapezoid Formula

GoShort Diagonal of Trapezoid given all Sides Formula

GoShort Diagonal of Trapezoid given Long Diagonal 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 = \sqrt{{B Long}^{2} + {L Long}^{2} - (2 \cdot B Long \cdot L Long \cdot \cos (∠ Smaller Acute))}

d_Short - Short Diagonal of Trapezoid?B_Long - Long Base of Trapezoid?L_Long - Long Leg of Trapezoid?∠_{Smaller Acute} - Smaller Acute Angle of Trapezoid?

Short Diagonal of Trapezoid Example

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

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

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

11.5707 = \sqrt{15^{2} + 11^{2} - (2 \cdot 15 \cdot 11 \cdot \cos (50))}

11.5707m = \sqrt{{15m}^{2} + {11m}^{2} - (2 \cdot 15m \cdot 11m \cdot \cos (50°))}

11.5707 = \sqrt{15^{2} + 11^{2} - (2 \cdot 15 \cdot 11 \cdot \cos (50))}

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Short Diagonal of Trapezoid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Short = \sqrt{{15m}^{2} + {11m}^{2} - (2 \cdot 15m \cdot 11m \cdot \cos (50°))}

Next Step Convert Units

∴

d Short = \sqrt{{15m}^{2} + {11m}^{2} - (2 \cdot 15m \cdot 11m \cdot \cos (0.8727rad))}

Next Step Prepare to Evaluate

∴

d Short = \sqrt{15^{2} + 11^{2} - (2 \cdot 15 \cdot 11 \cdot \cos (0.8727))}

Next Step Evaluate

∴

d Short = 11.5706563687373m

LAST Step Rounding Answer

∴

d Short = 11.5707m

Short Diagonal of Trapezoid 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

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

Long Leg of Trapezoid

Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.

Symbol: L_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Leg of Trapezoid

Smaller Acute Angle of Trapezoid

Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.

Symbol: ∠_{Smaller Acute}

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Smaller Acute Angle of Trapezoid

cos

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

Syntax: cos(Angle)

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 Short Diagonal of Trapezoid

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 Long Diagonal

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

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?

Short Diagonal of Trapezoid evaluator uses 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))) to evaluate the Short Diagonal of Trapezoid, Short Diagonal of Trapezoid formula is defined as the length of the line joining the corners of larger acute angle and larger obtuse angle of the Trapezoid. Short Diagonal of Trapezoid is denoted by d_Short symbol.

How to evaluate Short Diagonal of Trapezoid using this online evaluator? To use this online evaluator for Short Diagonal of Trapezoid, enter Long Base of Trapezoid (B_Long), Long Leg of Trapezoid (L_Long) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) and hit the calculate button.

FAQs on Short Diagonal of Trapezoid

What is the formula to find Short Diagonal of Trapezoid?

The formula of Short Diagonal of Trapezoid is expressed as 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))). Here is an example- 11.57066 = sqrt(15^2+11^2-(2*15*11*cos(0.872664625997001))).

How to calculate Short Diagonal of Trapezoid?

With Long Base of Trapezoid (B_Long), Long Leg of Trapezoid (L_Long) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) we can find Short Diagonal of Trapezoid using the formula - 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))). This formula also uses Cosine (cos), Square Root (sqrt) 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 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)))
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))

Can the Short Diagonal of Trapezoid be negative?

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

Which unit is used to measure Short Diagonal of Trapezoid?

Short Diagonal of Trapezoid 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 can be measured.

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Short Diagonal of Trapezoid Formula

​GoShort Diagonal of Trapezoid given all Sides Formula

​GoShort Diagonal of Trapezoid given Long Diagonal Formula

Short Diagonal of Trapezoid Example

Short Diagonal of Trapezoid Solution

Short Diagonal of Trapezoid 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?

FAQs on Short Diagonal of Trapezoid

Variable Name

GoShort Diagonal of Trapezoid given all Sides Formula

GoShort Diagonal of Trapezoid given Long Diagonal Formula