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Height of Trapezoid given Area 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 = \frac{2 \cdot A}{B Long + B Short}

h - Height of Trapezoid?A - Area of Trapezoid?B_Long - Long Base of Trapezoid?B_Short - Short Base of Trapezoid?

Height of Trapezoid given Area Example

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

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

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

8.5 = \frac{2 \cdot 85}{15 + 5}

8.5m = \frac{2 \cdot 85m²}{15m + 5m}

8.5 = \frac{2 \cdot 85}{15 + 5}

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Height of Trapezoid given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{2 \cdot 85m²}{15m + 5m}

Next Step Prepare to Evaluate

∴

h = \frac{2 \cdot 85}{15 + 5}

LAST Step Evaluate

∴

h = 8.5m

Height of Trapezoid given Area Formula Elements

Variables

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

Area of Trapezoid

Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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

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 Short Leg

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

How to Evaluate Height of Trapezoid given Area?

Height of Trapezoid given Area evaluator uses Height of Trapezoid = (2*Area of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid) to evaluate the Height of Trapezoid, Height of Trapezoid given Area formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using the area of the Trapezoid. Height of Trapezoid is denoted by h symbol.

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

FAQs on Height of Trapezoid given Area

What is the formula to find Height of Trapezoid given Area?

The formula of Height of Trapezoid given Area is expressed as Height of Trapezoid = (2*Area of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid). Here is an example- 8.5 = (2*85)/(15+5).

How to calculate Height of Trapezoid given Area?

With Area of Trapezoid (A), Long Base of Trapezoid (B_Long) & Short Base of Trapezoid (B_Short) we can find Height of Trapezoid given Area using the formula - Height of Trapezoid = (2*Area of Trapezoid)/(Long Base of Trapezoid+Short Base of Trapezoid).

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 Area be negative?

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

Which unit is used to measure Height of Trapezoid given Area?

Height of Trapezoid given Area 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 Area can be measured.

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Height of Trapezoid given Area Formula

​GoHeight of Trapezoid Formula

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

Height of Trapezoid given Area Example

Height of Trapezoid given Area Solution

Height of Trapezoid given Area Formula Elements

Other Formulas to find Height of Trapezoid

How to Evaluate Height of Trapezoid given Area?

FAQs on Height of Trapezoid given Area

Variable Name

GoHeight of Trapezoid Formula

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