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Lateral Edge of Isosceles Trapezoid given Area Formula

GoLateral Edge of Isosceles Trapezoid given Height and Acute Angle Formula

GoLateral Edge of Isosceles Trapezoid given Long and Short Base 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{2 \cdot A}{(B Long + B Short) \cdot \sin (∠ Acute)}

l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?A - Area of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Lateral Edge of Isosceles Trapezoid given Area Example

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

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

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

5.0866 = \frac{2 \cdot 50}{(15 + 9) \cdot \sin (55)}

5.0866m = \frac{2 \cdot 50m²}{(15m + 9m) \cdot \sin (55°)}

5.0866 = \frac{2 \cdot 50}{(15 + 9) \cdot \sin (55)}

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Lateral Edge of Isosceles Trapezoid given Area Solution

Follow our step by step solution on how to calculate Lateral Edge of Isosceles Trapezoid given Area?

FIRST Step Consider the formula

l e(Lateral) = \frac{2 \cdot A}{(B Long + B Short) \cdot \sin (∠ Acute)}

Next Step Substitute values of Variables

∴

l e(Lateral) = \frac{2 \cdot 50m²}{(15m + 9m) \cdot \sin (55°)}

Next Step Convert Units

∴

l e(Lateral) = \frac{2 \cdot 50m²}{(15m + 9m) \cdot \sin (0.9599rad)}

Next Step Prepare to Evaluate

∴

l e(Lateral) = \frac{2 \cdot 50}{(15 + 9) \cdot \sin (0.9599)}

Next Step Evaluate

∴

l e(Lateral) = 5.08656078650671m

LAST Step Rounding Answer

∴

l e(Lateral) = 5.0866m

Lateral Edge of Isosceles Trapezoid given Area 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

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

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 Height and Acute Angle

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

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)}

Go Lateral Edge of Isosceles Trapezoid given Area and Central Median

l e(Lateral) = \frac{A}{M \cdot \sin (∠ Acute)}

How to Evaluate Lateral Edge of Isosceles Trapezoid given Area?

Lateral Edge of Isosceles Trapezoid given Area evaluator uses Lateral Edge of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)*sin(Acute Angle of Isosceles Trapezoid)) to evaluate the Lateral Edge of Isosceles Trapezoid, Lateral Edge of Isosceles Trapezoid given Area formula is defined as the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid, and calculated using the area 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 Area using this online evaluator? To use this online evaluator for Lateral Edge 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) & Acute Angle of Isosceles Trapezoid (∠_Acute) and hit the calculate button.

FAQs on Lateral Edge of Isosceles Trapezoid given Area

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

The formula of Lateral Edge of Isosceles Trapezoid given Area is expressed as Lateral Edge of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/((Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)*sin(Acute Angle of Isosceles Trapezoid)). Here is an example- 5.086561 = (2*50)/((15+9)*sin(0.959931088596701)).

How to calculate Lateral Edge 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) & Acute Angle of Isosceles Trapezoid (∠_Acute) we can find Lateral Edge of Isosceles Trapezoid given Area using the formula - Lateral Edge of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/((Long Base of Isosceles Trapezoid+Short Base 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=Height of Isosceles Trapezoid/(sin(Acute Angle 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 Area be negative?

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

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

Lateral Edge 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 Lateral Edge of Isosceles Trapezoid given Area can be measured.

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Lateral Edge of Isosceles Trapezoid given Area Formula

​GoLateral Edge of Isosceles Trapezoid given Height and Acute Angle Formula

​GoLateral Edge of Isosceles Trapezoid given Long and Short Base Formula

Lateral Edge of Isosceles Trapezoid given Area Example

Lateral Edge of Isosceles Trapezoid given Area Solution

Lateral Edge of Isosceles Trapezoid given Area Formula Elements

Other Formulas to find Lateral Edge of Isosceles Trapezoid

How to Evaluate Lateral Edge of Isosceles Trapezoid given Area?

FAQs on Lateral Edge of Isosceles Trapezoid given Area

Variable Name

GoLateral Edge of Isosceles Trapezoid given Height and Acute Angle Formula

GoLateral Edge of Isosceles Trapezoid given Long and Short Base Formula