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Lateral Edge of Isosceles Trapezoid given Diagonal Formula

GoLateral Edge of Isosceles Trapezoid given Long and Short Base Formula

GoLateral Edge of Isosceles Trapezoid given Height and Acute Angle 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) = \sqrt{d^{2} - (B Long \cdot B Short)}

l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?d - Diagonal of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?

Lateral Edge of Isosceles Trapezoid given Diagonal Example

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

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

5.831 = \sqrt{13^{2} - (15 \cdot 9)}

5.831m = \sqrt{{13m}^{2} - (15m \cdot 9m)}

5.831 = \sqrt{13^{2} - (15 \cdot 9)}

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Lateral Edge of Isosceles Trapezoid given Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Lateral) = \sqrt{{13m}^{2} - (15m \cdot 9m)}

Next Step Prepare to Evaluate

∴

l e(Lateral) = \sqrt{13^{2} - (15 \cdot 9)}

Next Step Evaluate

∴

l e(Lateral) = 5.8309518948453m

LAST Step Rounding Answer

∴

l e(Lateral) = 5.831m

Lateral Edge of Isosceles Trapezoid given Diagonal 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

Diagonal of Isosceles Trapezoid

Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal 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 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 Height and Acute Angle

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

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 Diagonal?

Lateral Edge of Isosceles Trapezoid given Diagonal evaluator uses Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid)) to evaluate the Lateral Edge of Isosceles Trapezoid, Lateral Edge of Isosceles Trapezoid given Diagonal formula is defined as the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid, and calculated using the diagonal 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 Diagonal using this online evaluator? To use this online evaluator for Lateral Edge of Isosceles Trapezoid given Diagonal, enter Diagonal of Isosceles Trapezoid (d), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short) and hit the calculate button.

FAQs on Lateral Edge of Isosceles Trapezoid given Diagonal

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

The formula of Lateral Edge of Isosceles Trapezoid given Diagonal is expressed as Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid)). Here is an example- 5.830952 = sqrt(13^2-(15*9)).

How to calculate Lateral Edge of Isosceles Trapezoid given Diagonal?

With Diagonal of Isosceles Trapezoid (d), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short) we can find Lateral Edge of Isosceles Trapezoid given Diagonal using the formula - Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid)). This formula also uses Square Root (sqrt) 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=Height of Isosceles Trapezoid/(sin(Acute Angle of Isosceles Trapezoid))

Can the Lateral Edge of Isosceles Trapezoid given Diagonal be negative?

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

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

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

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Lateral Edge of Isosceles Trapezoid given Diagonal Formula

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

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

Lateral Edge of Isosceles Trapezoid given Diagonal Example

Lateral Edge of Isosceles Trapezoid given Diagonal Solution

Lateral Edge of Isosceles Trapezoid given Diagonal Formula Elements

Other Formulas to find Lateral Edge of Isosceles Trapezoid

Other formulas in Lateral Edge of Isosceles Trapezoid category

How to Evaluate Lateral Edge of Isosceles Trapezoid given Diagonal?

FAQs on Lateral Edge of Isosceles Trapezoid given Diagonal

Variable Name

GoLateral Edge of Isosceles Trapezoid given Long and Short Base Formula

GoLateral Edge of Isosceles Trapezoid given Height and Acute Angle Formula