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Height of Isosceles Trapezoid given Area Formula

GoHeight of Isosceles Trapezoid Formula

GoHeight of Isosceles Trapezoid given Long and Short Base Formula

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Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid. Check FAQs

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

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

Height of Isosceles Trapezoid given Area Example

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

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

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

4.1667 = \frac{2 \cdot 50}{15 + 9}

4.1667m = \frac{2 \cdot 50m²}{15m + 9m}

4.1667 = \frac{2 \cdot 50}{15 + 9}

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Height of Isosceles Trapezoid given Area Solution

Follow our step by step solution on how to calculate Height of Isosceles 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 50m²}{15m + 9m}

Next Step Prepare to Evaluate

∴

h = \frac{2 \cdot 50}{15 + 9}

Next Step Evaluate

∴

h = 4.16666666666667m

LAST Step Rounding Answer

∴

h = 4.1667m

Height of Isosceles Trapezoid given Area Formula Elements

Variables

Height of Isosceles Trapezoid

Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Isosceles Trapezoid

Area of Isosceles Trapezoid

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Isosceles Trapezoid

Long Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base of Isosceles Trapezoid

Other Formulas to find Height of Isosceles Trapezoid

Go Height of Isosceles Trapezoid

h = \frac{1}{2} \cdot \sqrt{(4 \cdot {l e(Lateral)}^{2}) - {(B Long - B Short)}^{2}}

Go Height of Isosceles Trapezoid given Long and Short Base

h = (\frac{B Long - B Short}{2}) \cdot \tan (∠ Acute)

Go Height of Isosceles Trapezoid given Lateral Edge and Acute Angle

h = l e(Lateral) \cdot \sin (∠ Acute)

How to Evaluate Height of Isosceles Trapezoid given Area?

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

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

FAQs on Height of Isosceles Trapezoid given Area

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

The formula of Height of Isosceles Trapezoid given Area is expressed as Height of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid). Here is an example- 4.166667 = (2*50)/(15+9).

How to calculate Height of Isosceles Trapezoid given Area?

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

What are the other ways to Calculate Height of Isosceles Trapezoid?

Here are the different ways to Calculate Height of Isosceles Trapezoid-

Height of Isosceles Trapezoid=1/2*sqrt((4*Lateral Edge of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)^2)
Height of Isosceles Trapezoid=((Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/2)*tan(Acute Angle of Isosceles Trapezoid)
Height of Isosceles Trapezoid=Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)

Can the Height of Isosceles Trapezoid given Area be negative?

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

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

Height of Isosceles 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 Isosceles Trapezoid given Area can be measured.

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Height of Isosceles Trapezoid given Area Formula

​GoHeight of Isosceles Trapezoid Formula

​GoHeight of Isosceles Trapezoid given Long and Short Base Formula

Height of Isosceles Trapezoid given Area Example

Height of Isosceles Trapezoid given Area Solution

Height of Isosceles Trapezoid given Area Formula Elements

Other Formulas to find Height of Isosceles Trapezoid

How to Evaluate Height of Isosceles Trapezoid given Area?

FAQs on Height of Isosceles Trapezoid given Area

Variable Name

GoHeight of Isosceles Trapezoid Formula

GoHeight of Isosceles Trapezoid given Long and Short Base Formula