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Height of Trapezoid Formula

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

GoHeight of Trapezoid given Long Leg Formula

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

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

h - Height of Trapezoid?L_Long - Long Leg of Trapezoid?B_Long - Long Base of Trapezoid?B_Short - Short Base of Trapezoid?L_Short - Short Leg of Trapezoid?

Height of Trapezoid Example

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

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

Here is how the Height of Trapezoid equation looks like.

8.4853 = \sqrt{11^{2} - {(\frac{{(15 - 5)}^{2} + 11^{2} - 9^{2}}{2 \cdot (15 - 5)})}^{2}}

8.4853m = \sqrt{{11m}^{2} - {(\frac{{(15m - 5m)}^{2} + {11m}^{2} - {9m}^{2}}{2 \cdot (15m - 5m)})}^{2}}

8.4853 = \sqrt{11^{2} - {(\frac{{(15 - 5)}^{2} + 11^{2} - 9^{2}}{2 \cdot (15 - 5)})}^{2}}

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Height of Trapezoid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{{11m}^{2} - {(\frac{{(15m - 5m)}^{2} + {11m}^{2} - {9m}^{2}}{2 \cdot (15m - 5m)})}^{2}}

Next Step Prepare to Evaluate

∴

h = \sqrt{11^{2} - {(\frac{{(15 - 5)}^{2} + 11^{2} - 9^{2}}{2 \cdot (15 - 5)})}^{2}}

Next Step Evaluate

∴

h = 8.48528137423857m

LAST Step Rounding Answer

∴

h = 8.4853m

Height of Trapezoid 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

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

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

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 Height of Trapezoid

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)

Go Height of Trapezoid given Area

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

How to Evaluate Height of Trapezoid?

Height of Trapezoid evaluator uses 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) to evaluate the Height of Trapezoid, Height of Trapezoid formula is defined as the perpendicular distance between the pair of parallel sides of the Trapezoid, and calculated using all sides of the Trapezoid. Height of Trapezoid is denoted by h symbol.

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

FAQs on Height of Trapezoid

What is the formula to find Height of Trapezoid?

The formula of Height of Trapezoid is expressed as 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). Here is an example- 8.485281 = sqrt(11^2-(((15-5)^2+11^2-9^2)/(2*(15-5)))^2).

How to calculate Height of Trapezoid?

With Long Leg of Trapezoid (L_Long), Long Base of Trapezoid (B_Long), Short Base of Trapezoid (B_Short) & Short Leg of Trapezoid (L_Short) we can find Height of Trapezoid using the formula - 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). This formula also uses Square Root (sqrt) 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=(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)
Height of Trapezoid=Short Leg of Trapezoid*sin(Larger Acute Angle of Trapezoid)

Can the Height of Trapezoid be negative?

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

Which unit is used to measure Height of Trapezoid?

Height of Trapezoid 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 can be measured.

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Height of Trapezoid Formula

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

​GoHeight of Trapezoid given Long Leg Formula

Height of Trapezoid Example

Height of Trapezoid Solution

Height of Trapezoid Formula Elements

Other Formulas to find Height of Trapezoid

How to Evaluate Height of Trapezoid?

FAQs on Height of Trapezoid

Variable Name

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

GoHeight of Trapezoid given Long Leg Formula