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Height of Trapezoid given Long Leg Formula

GoHeight of Trapezoid Formula

GoHeight of Trapezoid given Both Diagonals and Leg Angle between Diagonals Formula

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

h = L Long \cdot \sin (∠ Smaller Acute)

h - Height of Trapezoid?L_Long - Long Leg of Trapezoid?∠_{Smaller Acute} - Smaller Acute Angle of Trapezoid?

Height of Trapezoid given Long Leg Example

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

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

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

8.4265 = 11 \cdot \sin (50)

8.4265m = 11m \cdot \sin (50°)

8.4265 = 11 \cdot \sin (50)

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Height of Trapezoid given Long Leg Solution

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

FIRST Step Consider the formula

h = L Long \cdot \sin (∠ Smaller Acute)

Next Step Substitute values of Variables

∴

h = 11m \cdot \sin (50°)

Next Step Convert Units

∴

h = 11m \cdot \sin (0.8727rad)

Next Step Prepare to Evaluate

∴

h = 11 \cdot \sin (0.8727)

Next Step Evaluate

∴

h = 8.4264888743076m

LAST Step Rounding Answer

∴

h = 8.4265m

Height of Trapezoid given Long Leg Formula Elements

Variables

Functions

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 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

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 Height of Trapezoid

Go Height of Trapezoid

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

Go Height of Trapezoid given Both Diagonals and Leg Angle between Diagonals

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

Go Height of Trapezoid given Short Leg

h = L Short \cdot \sin (∠ Larger Acute)

Go Height of Trapezoid given Area

h = \frac{2 \cdot A}{B Long + B Short}

How to Evaluate Height of Trapezoid given Long Leg?

Height of Trapezoid given Long Leg evaluator uses Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid) to evaluate the Height of Trapezoid, Height of Trapezoid given Long Leg formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using long leg of the Trapezoid. Height of Trapezoid is denoted by h symbol.

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

FAQs on Height of Trapezoid given Long Leg

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

The formula of Height of Trapezoid given Long Leg is expressed as Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid). Here is an example- 8.426489 = 11*sin(0.872664625997001).

How to calculate Height of Trapezoid given Long Leg?

With Long Leg of Trapezoid (L_Long) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) we can find Height of Trapezoid given Long Leg using the formula - Height of Trapezoid = Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid). This formula also uses Sine function(s).

What are the other ways to Calculate Height of Trapezoid?

Here are the different ways to Calculate Height of Trapezoid-

Height of Trapezoid=sqrt(Long Leg of Trapezoid^2-(((Long Base of Trapezoid-Short Base of Trapezoid)^2+Long Leg of Trapezoid^2-Short Leg of Trapezoid^2)/(2*(Long Base of Trapezoid-Short Base of Trapezoid)))^2)
Height of Trapezoid=(Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid)*sin(Leg Angle between Diagonals of Trapezoid)
Height of Trapezoid=Short Leg of Trapezoid*sin(Larger Acute Angle of Trapezoid)

Can the Height of Trapezoid given Long Leg be negative?

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

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

Height 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 Height of Trapezoid given Long Leg can be measured.

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