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Height of Isosceles Trapezoid Formula

GoHeight of Isosceles Trapezoid given Area 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{1}{2} \cdot \sqrt{(4 \cdot {l e(Lateral)}^{2}) - {(B Long - B Short)}^{2}}

h - Height of Isosceles Trapezoid?l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?

Height of Isosceles Trapezoid Example

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

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

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

4 = \frac{1}{2} \cdot \sqrt{(4 \cdot 5^{2}) - {(15 - 9)}^{2}}

4m = \frac{1}{2} \cdot \sqrt{(4 \cdot {5m}^{2}) - {(15m - 9m)}^{2}}

4 = \frac{1}{2} \cdot \sqrt{(4 \cdot 5^{2}) - {(15 - 9)}^{2}}

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Height of Isosceles Trapezoid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{1}{2} \cdot \sqrt{(4 \cdot {5m}^{2}) - {(15m - 9m)}^{2}}

Next Step Prepare to Evaluate

∴

h = \frac{1}{2} \cdot \sqrt{(4 \cdot 5^{2}) - {(15 - 9)}^{2}}

LAST Step Evaluate

∴

h = 4m

Height of Isosceles Trapezoid 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

Lateral Edge of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge 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

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 Isosceles Trapezoid

Go Height of Isosceles Trapezoid given Area

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

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?

Height of Isosceles Trapezoid evaluator uses 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) to evaluate the Height of Isosceles Trapezoid, Height of Isosceles Trapezoid formula is defined as the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid. Height of Isosceles Trapezoid is denoted by h symbol.

How to evaluate Height of Isosceles Trapezoid using this online evaluator? To use this online evaluator for Height of Isosceles Trapezoid, enter Lateral Edge of Isosceles Trapezoid (l_e(Lateral)), 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

What is the formula to find Height of Isosceles Trapezoid?

The formula of Height of Isosceles Trapezoid is expressed as 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). Here is an example- 4 = 1/2*sqrt((4*5^2)-(15-9)^2).

How to calculate Height of Isosceles Trapezoid?

With Lateral Edge of Isosceles Trapezoid (l_e(Lateral)), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short) we can find Height of Isosceles Trapezoid using the formula - 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). This formula also uses Square Root (sqrt) 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=(2*Area of Isosceles Trapezoid)/(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)
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 be negative?

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

Which unit is used to measure Height of Isosceles Trapezoid?

Height of Isosceles 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 Isosceles Trapezoid can be measured.

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Height of Isosceles Trapezoid Formula

​GoHeight of Isosceles Trapezoid given Area Formula

​GoHeight of Isosceles Trapezoid given Long and Short Base Formula

Height of Isosceles Trapezoid Example

Height of Isosceles Trapezoid Solution

Height of Isosceles Trapezoid Formula Elements

Other Formulas to find Height of Isosceles Trapezoid

How to Evaluate Height of Isosceles Trapezoid?

FAQs on Height of Isosceles Trapezoid

Variable Name

GoHeight of Isosceles Trapezoid given Area Formula

GoHeight of Isosceles Trapezoid given Long and Short Base Formula