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Long Base of Trapezoid given Short Leg Formula

GoLong Base of Trapezoid Formula

GoLong Base of Trapezoid given Long Leg 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 + (L Short \cdot \frac{\sin (∠ Smaller Acute + ∠ Larger Acute)}{\sin (∠ Smaller Acute)})

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

Long Base of Trapezoid given Short Leg Example

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

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

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

15.1746 = 5 + (9 \cdot \frac{\sin (50 + 70)}{\sin (50)})

15.1746m = 5m + (9m \cdot \frac{\sin (50° + 70°)}{\sin (50°)})

15.1746 = 5 + (9 \cdot \frac{\sin (50 + 70)}{\sin (50)})

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Long Base of Trapezoid given Short Leg Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B Long = 5m + (9m \cdot \frac{\sin (50° + 70°)}{\sin (50°)})

Next Step Convert Units

∴

B Long = 5m + (9m \cdot \frac{\sin (0.8727rad + 1.2217rad)}{\sin (0.8727rad)})

Next Step Prepare to Evaluate

∴

B Long = 5 + (9 \cdot \frac{\sin (0.8727 + 1.2217)}{\sin (0.8727)})

Next Step Evaluate

∴

B Long = 15.1746428736279m

LAST Step Rounding Answer

∴

B Long = 15.1746m

Long Base of Trapezoid given Short Leg 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

Short Leg of Trapezoid

Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.

Symbol: L_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Leg 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

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

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 Long Base of Trapezoid

Go Long Base of Trapezoid

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

Other formulas in Long Base of Trapezoid category

Go Long Leg of Trapezoid

L Long = P - (B Long + B Short + L Short)

Go Long Leg of Trapezoid given Height

L Long = \frac{h}{\sin (∠ Smaller Acute)}

Go Long Leg of Trapezoid given Short Leg

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

Go Short Leg of Trapezoid

L Short = P - (B Long + B Short + L Long)

How to Evaluate Long Base of Trapezoid given Short Leg?

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

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

FAQs on Long Base of Trapezoid given Short Leg

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

The formula of Long Base of Trapezoid given Short Leg is expressed as Long Base of Trapezoid = Short Base of Trapezoid+(Short Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid))). Here is an example- 15.17464 = 5+(9*(sin(0.872664625997001+1.2217304763958))/(sin(0.872664625997001))).

How to calculate Long Base of Trapezoid given Short Leg?

With Short Base of Trapezoid (B_Short), Short Leg of Trapezoid (L_Short), Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) & Larger Acute Angle of Trapezoid (∠_{Larger Acute}) we can find Long Base of Trapezoid given Short Leg using the formula - Long Base of Trapezoid = Short Base of Trapezoid+(Short Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid))). This formula also uses Sine (sin) 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=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 Short Leg be negative?

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

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

Long Base of Trapezoid given Short Leg 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 Short Leg can be measured.

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Long Base of Trapezoid given Short Leg Formula

​GoLong Base of Trapezoid Formula

​GoLong Base of Trapezoid given Long Leg Formula

Long Base of Trapezoid given Short Leg Example

Long Base of Trapezoid given Short Leg Solution

Long Base of Trapezoid given Short Leg Formula Elements

Other Formulas to find Long Base of Trapezoid

Other formulas in Long Base of Trapezoid category

How to Evaluate Long Base of Trapezoid given Short Leg?

FAQs on Long Base of Trapezoid given Short Leg

Variable Name

GoLong Base of Trapezoid Formula

GoLong Base of Trapezoid given Long Leg Formula