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Long Base of Isosceles Trapezoid given Lateral Edge Formula

GoLong Base of Isosceles Trapezoid given Area Formula

GoLong Base of Isosceles Trapezoid given Diagonal Formula

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Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid. Check FAQs

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

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

Long Base of Isosceles Trapezoid given Lateral Edge Example

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

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

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

14.7358 = 9 + (2 \cdot 5 \cdot \cos (55))

14.7358m = 9m + (2 \cdot 5m \cdot \cos (55°))

14.7358 = 9 + (2 \cdot 5 \cdot \cos (55))

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2D Geometry » fx Long Base of Isosceles Trapezoid given Lateral Edge

Long Base of Isosceles Trapezoid given Lateral Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B Long = 9m + (2 \cdot 5m \cdot \cos (55°))

Next Step Convert Units

∴

B Long = 9m + (2 \cdot 5m \cdot \cos (0.9599rad))

Next Step Prepare to Evaluate

∴

B Long = 9 + (2 \cdot 5 \cdot \cos (0.9599))

Next Step Evaluate

∴

B Long = 14.7357643635119m

LAST Step Rounding Answer

∴

B Long = 14.7358m

Long Base of Isosceles Trapezoid given Lateral Edge Formula Elements

Variables

Functions

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

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

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Long Base of Isosceles Trapezoid

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 Perimeter

B Long = P - (B Short + (2 \cdot l e(Lateral)))

Other formulas in Long Base of Isosceles Trapezoid category

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)}

Go Short Base of Isosceles Trapezoid given Area

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

Go Short Base of Isosceles Trapezoid given Height

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

How to Evaluate Long Base of Isosceles Trapezoid given Lateral Edge?

Long Base of Isosceles Trapezoid given Lateral Edge evaluator uses Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid)) to evaluate the Long Base of Isosceles Trapezoid, Long Base of Isosceles Trapezoid given Lateral Edge is defined as the longer side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using lateral edge of the Isosceles Trapezoid. Long Base of Isosceles Trapezoid is denoted by B_Long symbol.

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

FAQs on Long Base of Isosceles Trapezoid given Lateral Edge

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

The formula of Long Base of Isosceles Trapezoid given Lateral Edge is expressed as Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid)). Here is an example- 14.73576 = 9+(2*5*cos(0.959931088596701)).

How to calculate Long Base of Isosceles Trapezoid given Lateral Edge?

With Short Base of Isosceles Trapezoid (B_Short), Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Acute Angle of Isosceles Trapezoid (∠_Acute) we can find Long Base of Isosceles Trapezoid given Lateral Edge using the formula - Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid)). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Long Base of Isosceles Trapezoid?

Here are the different ways to Calculate Long Base of Isosceles Trapezoid-

Long Base of Isosceles Trapezoid=(2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Short Base of Isosceles Trapezoid
Long Base of Isosceles Trapezoid=(Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Short Base of Isosceles Trapezoid
Long Base of Isosceles Trapezoid=Short Base of Isosceles Trapezoid+(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))

Can the Long Base of Isosceles Trapezoid given Lateral Edge be negative?

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

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

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

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Long Base of Isosceles Trapezoid given Lateral Edge Formula

​GoLong Base of Isosceles Trapezoid given Area Formula

​GoLong Base of Isosceles Trapezoid given Diagonal Formula

Long Base of Isosceles Trapezoid given Lateral Edge Example

Long Base of Isosceles Trapezoid given Lateral Edge Solution

Long Base of Isosceles Trapezoid given Lateral Edge Formula Elements

Other Formulas to find Long Base of Isosceles Trapezoid

Other formulas in Long Base of Isosceles Trapezoid category

How to Evaluate Long Base of Isosceles Trapezoid given Lateral Edge?

FAQs on Long Base of Isosceles Trapezoid given Lateral Edge

Variable Name

GoLong Base of Isosceles Trapezoid given Area Formula

GoLong Base of Isosceles Trapezoid given Diagonal Formula