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Lateral Edge of Isosceles Trapezoid given Height and Acute Angle Formula

GoLateral Edge of Isosceles Trapezoid given Long and Short Base Formula

GoLateral Edge of Isosceles Trapezoid given Diagonal Formula

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

l e(Lateral) = \frac{h}{\sin (∠ Acute)}

l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?h - Height of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Lateral Edge of Isosceles Trapezoid given Height and Acute Angle Example

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Here is how the Lateral Edge of Isosceles Trapezoid given Height and Acute Angle equation looks like with Values.

Here is how the Lateral Edge of Isosceles Trapezoid given Height and Acute Angle equation looks like with Units.

Here is how the Lateral Edge of Isosceles Trapezoid given Height and Acute Angle equation looks like.

4.8831 = \frac{4}{\sin (55)}

4.8831m = \frac{4m}{\sin (55°)}

4.8831 = \frac{4}{\sin (55)}

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Lateral Edge of Isosceles Trapezoid given Height and Acute Angle Solution

Follow our step by step solution on how to calculate Lateral Edge of Isosceles Trapezoid given Height and Acute Angle?

FIRST Step Consider the formula

l e(Lateral) = \frac{h}{\sin (∠ Acute)}

Next Step Substitute values of Variables

∴

l e(Lateral) = \frac{4m}{\sin (55°)}

Next Step Convert Units

∴

l e(Lateral) = \frac{4m}{\sin (0.9599rad)}

Next Step Prepare to Evaluate

∴

l e(Lateral) = \frac{4}{\sin (0.9599)}

Next Step Evaluate

∴

l e(Lateral) = 4.88309835504644m

LAST Step Rounding Answer

∴

l e(Lateral) = 4.8831m

Lateral Edge of Isosceles Trapezoid given Height and Acute Angle Formula Elements

Variables

Functions

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

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

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Lateral Edge of Isosceles Trapezoid

Go Lateral Edge of Isosceles Trapezoid given Long and Short Base

l e(Lateral) = \frac{B Long - B Short}{2 \cdot \cos (∠ Acute)}

Go Lateral Edge of Isosceles Trapezoid given Diagonal

l e(Lateral) = \sqrt{d^{2} - (B Long \cdot B Short)}

Other formulas in Lateral Edge of Isosceles Trapezoid category

Go Long Base of Isosceles Trapezoid given Area

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

Go Long Base of Isosceles Trapezoid given Diagonal

B Long = \frac{d^{2} - {l e(Lateral)}^{2}}{B Short}

Go Long Base of Isosceles Trapezoid given Height

B Long = B Short + (2 \cdot h \cdot \cot (∠ Acute))

Go Long Base of Isosceles Trapezoid given Lateral Edge

B Long = B Short + (2 \cdot l e(Lateral) \cdot \cos (∠ Acute))

How to Evaluate Lateral Edge of Isosceles Trapezoid given Height and Acute Angle?

Lateral Edge of Isosceles Trapezoid given Height and Acute Angle evaluator uses Lateral Edge of Isosceles Trapezoid = Height of Isosceles Trapezoid/(sin(Acute Angle of Isosceles Trapezoid)) to evaluate the Lateral Edge of Isosceles Trapezoid, Lateral Edge of Isosceles Trapezoid given Height and Acute Angle formula is defined as the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid, and calculated using the height and acute angle of the Isosceles Trapezoid. Lateral Edge of Isosceles Trapezoid is denoted by l_e(Lateral) symbol.

How to evaluate Lateral Edge of Isosceles Trapezoid given Height and Acute Angle using this online evaluator? To use this online evaluator for Lateral Edge of Isosceles Trapezoid given Height and Acute Angle, enter Height of Isosceles Trapezoid (h) & Acute Angle of Isosceles Trapezoid (∠_Acute) and hit the calculate button.

FAQs on Lateral Edge of Isosceles Trapezoid given Height and Acute Angle

What is the formula to find Lateral Edge of Isosceles Trapezoid given Height and Acute Angle?

The formula of Lateral Edge of Isosceles Trapezoid given Height and Acute Angle is expressed as Lateral Edge of Isosceles Trapezoid = Height of Isosceles Trapezoid/(sin(Acute Angle of Isosceles Trapezoid)). Here is an example- 4.883098 = 4/(sin(0.959931088596701)).

How to calculate Lateral Edge of Isosceles Trapezoid given Height and Acute Angle?

With Height of Isosceles Trapezoid (h) & Acute Angle of Isosceles Trapezoid (∠_Acute) we can find Lateral Edge of Isosceles Trapezoid given Height and Acute Angle using the formula - Lateral Edge of Isosceles Trapezoid = Height of Isosceles Trapezoid/(sin(Acute Angle of Isosceles Trapezoid)). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Lateral Edge of Isosceles Trapezoid?

Here are the different ways to Calculate Lateral Edge of Isosceles Trapezoid-

Lateral Edge of Isosceles Trapezoid=(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/(2*cos(Acute Angle of Isosceles Trapezoid))
Lateral Edge of Isosceles Trapezoid=sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid))

Can the Lateral Edge of Isosceles Trapezoid given Height and Acute Angle be negative?

No, the Lateral Edge of Isosceles Trapezoid given Height and Acute Angle, measured in Length cannot be negative.

Which unit is used to measure Lateral Edge of Isosceles Trapezoid given Height and Acute Angle?

Lateral Edge of Isosceles Trapezoid given Height and Acute Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Lateral Edge of Isosceles Trapezoid given Height and Acute Angle can be measured.

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