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Long Base of Trapezoid given Height Formula

GoLong Base of Trapezoid Formula

GoLong Base of Trapezoid given Central Median Formula

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

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

B_Long - Long Base of Trapezoid?B_Short - Short Base of Trapezoid?h - Height of Trapezoid?∠_{Larger Acute} - Larger Acute Angle of Trapezoid?∠_{Smaller Acute} - Smaller Acute Angle of Trapezoid?

Long Base of Trapezoid given Height Example

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

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

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

14.6246 = 5 + (8 \cdot (\cot (70) + \cot (50)))

14.6246m = 5m + (8m \cdot (\cot (70°) + \cot (50°)))

14.6246 = 5 + (8 \cdot (\cot (70) + \cot (50)))

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Long Base of Trapezoid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B Long = 5m + (8m \cdot (\cot (70°) + \cot (50°)))

Next Step Convert Units

∴

B Long = 5m + (8m \cdot (\cot (1.2217rad) + \cot (0.8727rad)))

Next Step Prepare to Evaluate

∴

B Long = 5 + (8 \cdot (\cot (1.2217) + \cot (0.8727)))

Next Step Evaluate

∴

B Long = 14.6245589235522m

LAST Step Rounding Answer

∴

B Long = 14.6246m

Long Base of Trapezoid given Height Formula Elements

Variables

Functions

Long Base of Trapezoid

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

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Trapezoid

Short Base of Trapezoid

Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base of Trapezoid

Height of Trapezoid

Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Trapezoid

Larger Acute Angle of Trapezoid

Larger Acute Angle of Trapezoid is the larger angle on the long base or the angle made by the long base and short leg of the Trapezoid.

Symbol: ∠_{Larger Acute}

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Larger Acute Angle of Trapezoid

Smaller Acute Angle of Trapezoid

Smaller Acute Angle of Trapezoid is the smaller angle on the long base or the angle made by the long base and long leg of the Trapezoid.

Symbol: ∠_{Smaller Acute}

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Smaller Acute Angle of 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 Trapezoid

Go Long Base of Trapezoid

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

Go Long Base of Trapezoid given Central Median

B Long = (2 \cdot M) - B Short

Go Long Base of Trapezoid given Long Leg

B Long = B Short + (L Long \cdot \frac{\sin (∠ Smaller Acute + ∠ Larger Acute)}{\sin (∠ Larger Acute)})

Go Long Base of Trapezoid given Short Leg

B Long = B Short + (L Short \cdot \frac{\sin (∠ Smaller Acute + ∠ Larger Acute)}{\sin (∠ Smaller Acute)})

How to Evaluate Long Base of Trapezoid given Height?

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

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

FAQs on Long Base of Trapezoid given Height

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

The formula of Long Base of Trapezoid given Height is expressed as Long Base of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Larger Acute Angle of Trapezoid)+cot(Smaller Acute Angle of Trapezoid))). Here is an example- 14.62456 = 5+(8*(cot(1.2217304763958)+cot(0.872664625997001))).

How to calculate Long Base of Trapezoid given Height?

With Short Base of Trapezoid (B_Short), Height of Trapezoid (h), Larger Acute Angle of Trapezoid (∠_{Larger Acute}) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) we can find Long Base of Trapezoid given Height using the formula - Long Base of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Larger Acute Angle of Trapezoid)+cot(Smaller Acute Angle of Trapezoid))). This formula also uses Cotangent (cot) function(s).

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

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

Long Base of Trapezoid=(2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid
Long Base of Trapezoid=(2*Central Median of Trapezoid)-Short Base of Trapezoid
Long Base of Trapezoid=Short Base of Trapezoid+(Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid)))

Can the Long Base of Trapezoid given Height be negative?

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

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

Long Base of 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 Trapezoid given Height can be measured.

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Long Base of Trapezoid given Height Formula

​GoLong Base of Trapezoid Formula

​GoLong Base of Trapezoid given Central Median Formula

Long Base of Trapezoid given Height Example

Long Base of Trapezoid given Height Solution

Long Base of Trapezoid given Height Formula Elements

Other Formulas to find Long Base of Trapezoid

How to Evaluate Long Base of Trapezoid given Height?

FAQs on Long Base of Trapezoid given Height

Variable Name

GoLong Base of Trapezoid Formula

GoLong Base of Trapezoid given Central Median Formula