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Short Diagonal of Trapezoid given Short Leg Formula

GoShort Diagonal of Trapezoid Formula

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

d_Short - Short Diagonal of Trapezoid?B_Short - Short Base of Trapezoid?L_Short - Short Leg of Trapezoid?∠_{Smaller Obtuse} - Smaller Obtuse Angle of Trapezoid?

Short Diagonal of Trapezoid given Short Leg Example

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

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

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

11.6954 = \sqrt{5^{2} + 9^{2} - (2 \cdot 5 \cdot 9 \cdot \cos (110))}

11.6954m = \sqrt{{5m}^{2} + {9m}^{2} - (2 \cdot 5m \cdot 9m \cdot \cos (110°))}

11.6954 = \sqrt{5^{2} + 9^{2} - (2 \cdot 5 \cdot 9 \cdot \cos (110))}

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Short Diagonal of Trapezoid given Short Leg Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Short = \sqrt{{5m}^{2} + {9m}^{2} - (2 \cdot 5m \cdot 9m \cdot \cos (110°))}

Next Step Convert Units

∴

d Short = \sqrt{{5m}^{2} + {9m}^{2} - (2 \cdot 5m \cdot 9m \cdot \cos (1.9199rad))}

Next Step Prepare to Evaluate

∴

d Short = \sqrt{5^{2} + 9^{2} - (2 \cdot 5 \cdot 9 \cdot \cos (1.9199))}

Next Step Evaluate

∴

d Short = 11.695375705777m

LAST Step Rounding Answer

∴

d Short = 11.6954m

Short Diagonal of Trapezoid given Short Leg 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

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

Short Leg of Trapezoid

Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.

Symbol: L_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Leg of Trapezoid

Smaller Obtuse Angle of Trapezoid

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

Symbol: ∠_{Smaller Obtuse}

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Smaller Obtuse 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

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})}

Go Short Diagonal of Trapezoid given Height

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

Go Short Diagonal of Trapezoid given Height and Larger Acute Angle

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

How to Evaluate Short Diagonal of Trapezoid given Short Leg?

Short Diagonal of Trapezoid given Short Leg evaluator uses 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))) to evaluate the Short Diagonal of Trapezoid, Short Diagonal of Trapezoid given Short Leg 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 short leg of the Trapezoid. Short Diagonal of Trapezoid is denoted by d_Short symbol.

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

FAQs on Short Diagonal of Trapezoid given Short Leg

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

The formula of Short Diagonal of Trapezoid given Short Leg is expressed as 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))). Here is an example- 11.69538 = sqrt(5^2+9^2-(2*5*9*cos(1.9198621771934))).

How to calculate Short Diagonal of Trapezoid given Short Leg?

With Short Base of Trapezoid (B_Short), Short Leg of Trapezoid (L_Short) & Smaller Obtuse Angle of Trapezoid (∠_{Smaller Obtuse}) we can find Short Diagonal of Trapezoid given Short Leg using the formula - 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))). 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 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)))
Short Diagonal of Trapezoid=sqrt(Height of Trapezoid^2+(Long Base of Trapezoid-(Height of Trapezoid*cot(Smaller Acute Angle of Trapezoid)))^2)

Can the Short Diagonal of Trapezoid given Short Leg be negative?

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

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

Short Diagonal of Trapezoid given Short Leg 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 Short Leg can be measured.

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Short Diagonal of Trapezoid given Short Leg Formula

​GoShort Diagonal of Trapezoid Formula

​GoShort Diagonal of Trapezoid given all Sides Formula

Short Diagonal of Trapezoid given Short Leg Example

Short Diagonal of Trapezoid given Short Leg Solution

Short Diagonal of Trapezoid given Short Leg Formula Elements

Other Formulas to find Short Diagonal of Trapezoid

How to Evaluate Short Diagonal of Trapezoid given Short Leg?

FAQs on Short Diagonal of Trapezoid given Short Leg

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GoShort Diagonal of Trapezoid Formula

GoShort Diagonal of Trapezoid given all Sides Formula