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Height of Isosceles Trapezoid given Long and Short Base Formula

GoHeight of Isosceles Trapezoid Formula

GoHeight of Isosceles Trapezoid given Area 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{B Long - B Short}{2}) \cdot \tan (∠ Acute)

h - Height of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Height of Isosceles Trapezoid given Long and Short Base Example

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Here is how the Height of Isosceles Trapezoid given Long and Short Base equation looks like with Values.

Here is how the Height of Isosceles Trapezoid given Long and Short Base equation looks like with Units.

Here is how the Height of Isosceles Trapezoid given Long and Short Base equation looks like.

4.2844 = (\frac{15 - 9}{2}) \cdot \tan (55)

4.2844m = (\frac{15m - 9m}{2}) \cdot \tan (55°)

4.2844 = (\frac{15 - 9}{2}) \cdot \tan (55)

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Height of Isosceles Trapezoid given Long and Short Base Solution

Follow our step by step solution on how to calculate Height of Isosceles Trapezoid given Long and Short Base?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = (\frac{15m - 9m}{2}) \cdot \tan (55°)

Next Step Convert Units

∴

h = (\frac{15m - 9m}{2}) \cdot \tan (0.9599rad)

Next Step Prepare to Evaluate

∴

h = (\frac{15 - 9}{2}) \cdot \tan (0.9599)

Next Step Evaluate

∴

h = 4.2844440202247m

LAST Step Rounding Answer

∴

h = 4.2844m

Height of Isosceles Trapezoid given Long and Short Base Formula Elements

Variables

Functions

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

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

Acute Angle of Isosceles Trapezoid

Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Isosceles Trapezoid

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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 Area

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

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 Long and Short Base?

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

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

FAQs on Height of Isosceles Trapezoid given Long and Short Base

What is the formula to find Height of Isosceles Trapezoid given Long and Short Base?

The formula of Height of Isosceles Trapezoid given Long and Short Base is expressed as Height of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/2)*tan(Acute Angle of Isosceles Trapezoid). Here is an example- 4.284444 = ((15-9)/2)*tan(0.959931088596701).

How to calculate Height of Isosceles Trapezoid given Long and Short Base?

With Long Base of Isosceles Trapezoid (B_Long), Short Base of Isosceles Trapezoid (B_Short) & Acute Angle of Isosceles Trapezoid (∠_Acute) we can find Height of Isosceles Trapezoid given Long and Short Base using the formula - Height of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/2)*tan(Acute Angle of Isosceles Trapezoid). This formula also uses Tangent (tan) function(s).

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=(2*Area of Isosceles Trapezoid)/(Long Base of Isosceles Trapezoid+Short Base 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 Long and Short Base be negative?

No, the Height of Isosceles Trapezoid given Long and Short Base, measured in Length cannot be negative.

Which unit is used to measure Height of Isosceles Trapezoid given Long and Short Base?

Height of Isosceles Trapezoid given Long and Short Base 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 Long and Short Base can be measured.

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Height of Isosceles Trapezoid given Long and Short Base Formula

​GoHeight of Isosceles Trapezoid Formula

​GoHeight of Isosceles Trapezoid given Area Formula

Height of Isosceles Trapezoid given Long and Short Base Example

Height of Isosceles Trapezoid given Long and Short Base Solution

Height of Isosceles Trapezoid given Long and Short Base Formula Elements

Other Formulas to find Height of Isosceles Trapezoid

How to Evaluate Height of Isosceles Trapezoid given Long and Short Base?

FAQs on Height of Isosceles Trapezoid given Long and Short Base

Variable Name

GoHeight of Isosceles Trapezoid Formula

GoHeight of Isosceles Trapezoid given Area Formula