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Height of Trapezoid given Short 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 Short \cdot \sin (∠ Larger Acute)

h - Height of Trapezoid?L_Short - Short Leg of Trapezoid?∠_{Larger Acute} - Larger Acute Angle of Trapezoid?

Height of Trapezoid given Short Leg Example

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

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

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

8.4572 = 9 \cdot \sin (70)

8.4572m = 9m \cdot \sin (70°)

8.4572 = 9 \cdot \sin (70)

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Height of Trapezoid given Short Leg Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 9m \cdot \sin (70°)

Next Step Convert Units

∴

h = 9m \cdot \sin (1.2217rad)

Next Step Prepare to Evaluate

∴

h = 9 \cdot \sin (1.2217)

Next Step Evaluate

∴

h = 8.45723358707247m

LAST Step Rounding Answer

∴

h = 8.4572m

Height of Trapezoid given Short 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

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

Larger Acute Angle of Trapezoid

Larger Acute Angle of Trapezoid is the larger angle on the long base or the angle made by the long base and short leg of the Trapezoid.

Symbol: ∠_{Larger Acute}

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Larger 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 Long Leg

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

Go Height of Trapezoid given Area

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

How to Evaluate Height of Trapezoid given Short Leg?

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

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

FAQs on Height of Trapezoid given Short Leg

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

The formula of Height of Trapezoid given Short Leg is expressed as Height of Trapezoid = Short Leg of Trapezoid*sin(Larger Acute Angle of Trapezoid). Here is an example- 8.457234 = 9*sin(1.2217304763958).

How to calculate Height of Trapezoid given Short Leg?

With Short Leg of Trapezoid (L_Short) & Larger Acute Angle of Trapezoid (∠_{Larger Acute}) we can find Height of Trapezoid given Short Leg using the formula - Height of Trapezoid = Short Leg of Trapezoid*sin(Larger 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=Long Leg of Trapezoid*sin(Smaller Acute Angle of Trapezoid)

Can the Height of Trapezoid given Short Leg be negative?

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

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

Height 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 Height of Trapezoid given Short Leg can be measured.

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