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Long Leg of Trapezoid given Short Leg Formula

GoLong Leg of Trapezoid Formula

GoLong Leg of Trapezoid given Height Formula

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

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

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

Long Leg of Trapezoid given Short Leg Example

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

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

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

11.0401 = 9 \cdot \frac{\sin (70)}{\sin (50)}

11.0401m = 9m \cdot \frac{\sin (70°)}{\sin (50°)}

11.0401 = 9 \cdot \frac{\sin (70)}{\sin (50)}

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Long Leg of Trapezoid given Short Leg Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L Long = 9m \cdot \frac{\sin (70°)}{\sin (50°)}

Next Step Convert Units

∴

L Long = 9m \cdot \frac{\sin (1.2217rad)}{\sin (0.8727rad)}

Next Step Prepare to Evaluate

∴

L Long = 9 \cdot \frac{\sin (1.2217)}{\sin (0.8727)}

Next Step Evaluate

∴

L Long = 11.0401343721517m

LAST Step Rounding Answer

∴

L Long = 11.0401m

Long Leg of Trapezoid given Short Leg Formula Elements

Variables

Functions

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

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

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

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 Leg of Trapezoid

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)}

Other formulas in Long Leg 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 Short Leg of Trapezoid

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

How to Evaluate Long Leg of Trapezoid given Short Leg?

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

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

FAQs on Long Leg of Trapezoid given Short Leg

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

The formula of Long Leg of Trapezoid given Short Leg is expressed as Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid)). Here is an example- 11.04013 = 9*(sin(1.2217304763958))/(sin(0.872664625997001)).

How to calculate Long Leg of Trapezoid given Short Leg?

With Short Leg of Trapezoid (L_Short), Larger Acute Angle of Trapezoid (∠_{Larger Acute}) & Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) we can find Long Leg of Trapezoid given Short Leg using the formula - Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(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 Leg of Trapezoid?

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

Long Leg of Trapezoid=Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid)
Long Leg of Trapezoid=Height of Trapezoid/(sin(Smaller Acute Angle of Trapezoid))

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

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

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

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

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