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Long Base of Isosceles Trapezoid given Height 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 h \cdot \cot (∠ Acute))

B_Long - Long Base of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?h - Height of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Long Base of Isosceles Trapezoid given Height Example

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

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

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

14.6017 = 9 + (2 \cdot 4 \cdot \cot (55))

14.6017m = 9m + (2 \cdot 4m \cdot \cot (55°))

14.6017 = 9 + (2 \cdot 4 \cdot \cot (55))

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Long Base of Isosceles Trapezoid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B Long = 9m + (2 \cdot 4m \cdot \cot (55°))

Next Step Convert Units

∴

B Long = 9m + (2 \cdot 4m \cdot \cot (0.9599rad))

Next Step Prepare to Evaluate

∴

B Long = 9 + (2 \cdot 4 \cdot \cot (0.9599))

Next Step Evaluate

∴

B Long = 14.6016603056798m

LAST Step Rounding Answer

∴

B Long = 14.6017m

Long Base of Isosceles Trapezoid given Height 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

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

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(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 Lateral Edge

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

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

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

FAQs on Long Base of Isosceles Trapezoid given Height

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

The formula of Long Base of Isosceles Trapezoid given Height is expressed as Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid)). Here is an example- 14.60166 = 9+(2*4*cot(0.959931088596701)).

How to calculate Long Base of Isosceles Trapezoid given Height?

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

Can the Long Base of Isosceles Trapezoid given Height be negative?

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

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

Long Base of Isosceles Trapezoid given Height 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 Height can be measured.

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Long Base of Isosceles Trapezoid given Height Formula

​GoLong Base of Isosceles Trapezoid given Area Formula

​GoLong Base of Isosceles Trapezoid given Diagonal Formula

Long Base of Isosceles Trapezoid given Height Example

Long Base of Isosceles Trapezoid given Height Solution

Long Base of Isosceles Trapezoid given Height 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 Height?

FAQs on Long Base of Isosceles Trapezoid given Height

Variable Name

GoLong Base of Isosceles Trapezoid given Area Formula

GoLong Base of Isosceles Trapezoid given Diagonal Formula