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Short Base of Trapezoid given Long Leg Formula

GoShort Base of Trapezoid Formula

GoShort Base of Trapezoid given Short Leg Formula

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

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

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

Short Base of Trapezoid given Long Leg Example

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

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

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

4.8623 = 15 - (11 \cdot \frac{\sin (50 + 70)}{\sin (70)})

4.8623m = 15m - (11m \cdot \frac{\sin (50° + 70°)}{\sin (70°)})

4.8623 = 15 - (11 \cdot \frac{\sin (50 + 70)}{\sin (70)})

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Short Base of Trapezoid given Long Leg Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B Short = 15m - (11m \cdot \frac{\sin (50° + 70°)}{\sin (70°)})

Next Step Convert Units

∴

B Short = 15m - (11m \cdot \frac{\sin (0.8727rad + 1.2217rad)}{\sin (1.2217rad)})

Next Step Prepare to Evaluate

∴

B Short = 15 - (11 \cdot \frac{\sin (0.8727 + 1.2217)}{\sin (1.2217)})

Next Step Evaluate

∴

B Short = 4.8623451638212m

LAST Step Rounding Answer

∴

B Short = 4.8623m

Short Base of Trapezoid given Long Leg Formula Elements

Variables

Functions

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

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

Long Leg of Trapezoid

Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.

Symbol: L_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long 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 Short Base of Trapezoid

Go Short Base of Trapezoid

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

Go Short Base of Trapezoid given Short Leg

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

Other formulas in Short Base of Trapezoid category

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)})

Go Long Base of Trapezoid given Short Leg

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

Go Long Leg of Trapezoid

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

How to Evaluate Short Base of Trapezoid given Long Leg?

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

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

FAQs on Short Base of Trapezoid given Long Leg

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

The formula of Short Base of Trapezoid given Long Leg is expressed as Short Base of Trapezoid = Long Base of Trapezoid-(Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid))). Here is an example- 4.862345 = 15-(11*(sin(0.872664625997001+1.2217304763958))/(sin(1.2217304763958))).

How to calculate Short Base of Trapezoid given Long Leg?

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

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

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

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

Can the Short Base of Trapezoid given Long Leg be negative?

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

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

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

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Short Base of Trapezoid given Long Leg Formula

​GoShort Base of Trapezoid Formula

​GoShort Base of Trapezoid given Short Leg Formula

Short Base of Trapezoid given Long Leg Example

Short Base of Trapezoid given Long Leg Solution

Short Base of Trapezoid given Long Leg Formula Elements

Other Formulas to find Short Base of Trapezoid

Other formulas in Short Base of Trapezoid category

How to Evaluate Short Base of Trapezoid given Long Leg?

FAQs on Short Base of Trapezoid given Long Leg

Variable Name

GoShort Base of Trapezoid Formula

GoShort Base of Trapezoid given Short Leg Formula