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Short Diagonal of Trapezoid given Long Leg 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 = \sqrt{{B Long}^{2} + {L Long}^{2} - (2 \cdot B Long \cdot \sqrt{{L Long}^{2} - h^{2}})}

d_Short - Short Diagonal of Trapezoid?B_Long - Long Base of Trapezoid?L_Long - Long Leg of Trapezoid?h - Height of Trapezoid?

Short Diagonal of Trapezoid given Long Leg Example

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

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

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

10.9318 = \sqrt{15^{2} + 11^{2} - (2 \cdot 15 \cdot \sqrt{11^{2} - 8^{2}})}

10.9318m = \sqrt{{15m}^{2} + {11m}^{2} - (2 \cdot 15m \cdot \sqrt{{11m}^{2} - {8m}^{2}})}

10.9318 = \sqrt{15^{2} + 11^{2} - (2 \cdot 15 \cdot \sqrt{11^{2} - 8^{2}})}

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Short Diagonal of Trapezoid given Long Leg Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Short = \sqrt{{15m}^{2} + {11m}^{2} - (2 \cdot 15m \cdot \sqrt{{11m}^{2} - {8m}^{2}})}

Next Step Prepare to Evaluate

∴

d Short = \sqrt{15^{2} + 11^{2} - (2 \cdot 15 \cdot \sqrt{11^{2} - 8^{2}})}

Next Step Evaluate

∴

d Short = 10.9318327348106m

LAST Step Rounding Answer

∴

d Short = 10.9318m

Short Diagonal of Trapezoid given Long 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

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

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

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 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 Long Leg?

Short Diagonal of Trapezoid given Long Leg evaluator uses Short Diagonal of Trapezoid = sqrt(Long Base of Trapezoid^2+Long Leg of Trapezoid^2-(2*Long Base of Trapezoid*sqrt(Long Leg of Trapezoid^2-Height of Trapezoid^2))) to evaluate the Short Diagonal of Trapezoid, Short Diagonal of Trapezoid given Long 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 long leg of the Trapezoid. Short Diagonal of Trapezoid is denoted by d_Short symbol.

How to evaluate Short Diagonal of Trapezoid given Long Leg using this online evaluator? To use this online evaluator for Short Diagonal of Trapezoid given Long Leg, enter Long Base of Trapezoid (B_Long), Long Leg of Trapezoid (L_Long) & Height of Trapezoid (h) and hit the calculate button.

FAQs on Short Diagonal of Trapezoid given Long Leg

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

The formula of Short Diagonal of Trapezoid given Long Leg is expressed as Short Diagonal of Trapezoid = sqrt(Long Base of Trapezoid^2+Long Leg of Trapezoid^2-(2*Long Base of Trapezoid*sqrt(Long Leg of Trapezoid^2-Height of Trapezoid^2))). Here is an example- 10.93183 = sqrt(15^2+11^2-(2*15*sqrt(11^2-8^2))).

How to calculate Short Diagonal of Trapezoid given Long Leg?

With Long Base of Trapezoid (B_Long), Long Leg of Trapezoid (L_Long) & Height of Trapezoid (h) we can find Short Diagonal of Trapezoid given Long Leg using the formula - Short Diagonal of Trapezoid = sqrt(Long Base of Trapezoid^2+Long Leg of Trapezoid^2-(2*Long Base of Trapezoid*sqrt(Long Leg of Trapezoid^2-Height of Trapezoid^2))). This formula also uses 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(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 Long Leg be negative?

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

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

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

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Short Diagonal of Trapezoid given Long Leg Formula

​GoShort Diagonal of Trapezoid Formula

​GoShort Diagonal of Trapezoid given Short Leg Formula

Short Diagonal of Trapezoid given Long Leg Example

Short Diagonal of Trapezoid given Long Leg Solution

Short Diagonal of Trapezoid given Long Leg Formula Elements

Other Formulas to find Short Diagonal of Trapezoid

How to Evaluate Short Diagonal of Trapezoid given Long Leg?

FAQs on Short Diagonal of Trapezoid given Long Leg

Variable Name

GoShort Diagonal of Trapezoid Formula

GoShort Diagonal of Trapezoid given Short Leg Formula