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Short Leg of Trapezoid given Height Formula

GoShort Leg of Trapezoid Formula

GoShort Leg of Trapezoid given Long Leg Formula

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

L Short = \frac{h}{\sin (∠ Larger Acute)}

L_Short - Short Leg of Trapezoid?h - Height of Trapezoid?∠_{Larger Acute} - Larger Acute Angle of Trapezoid?

Short Leg of Trapezoid given Height Example

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

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

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

8.5134 = \frac{8}{\sin (70)}

8.5134m = \frac{8m}{\sin (70°)}

8.5134 = \frac{8}{\sin (70)}

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Short Leg of Trapezoid given Height Solution

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

FIRST Step Consider the formula

L Short = \frac{h}{\sin (∠ Larger Acute)}

Next Step Substitute values of Variables

∴

L Short = \frac{8m}{\sin (70°)}

Next Step Convert Units

∴

L Short = \frac{8m}{\sin (1.2217rad)}

Next Step Prepare to Evaluate

∴

L Short = \frac{8}{\sin (1.2217)}

Next Step Evaluate

∴

L Short = 8.51342217980801m

LAST Step Rounding Answer

∴

L Short = 8.5134m

Short Leg of Trapezoid given Height Formula Elements

Variables

Functions

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

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

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 Leg of Trapezoid

Go Short Leg of Trapezoid

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

Go Short Leg of Trapezoid given Long Leg

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

Other formulas in Short 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 Long Leg of Trapezoid

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

How to Evaluate Short Leg of Trapezoid given Height?

Short Leg of Trapezoid given Height evaluator uses Short Leg of Trapezoid = Height of Trapezoid/(sin(Larger Acute Angle of Trapezoid)) to evaluate the Short Leg of Trapezoid, Short Leg of Trapezoid given Height formula is defined as the shorter side among the pair of non parallel and opposite sides of the Trapezoid, and calculated using height of the Trapezoid. Short Leg of Trapezoid is denoted by L_Short symbol.

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

FAQs on Short Leg of Trapezoid given Height

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

The formula of Short Leg of Trapezoid given Height is expressed as Short Leg of Trapezoid = Height of Trapezoid/(sin(Larger Acute Angle of Trapezoid)). Here is an example- 8.513422 = 8/(sin(1.2217304763958)).

How to calculate Short Leg of Trapezoid given Height?

With Height of Trapezoid (h) & Larger Acute Angle of Trapezoid (∠_{Larger Acute}) we can find Short Leg of Trapezoid given Height using the formula - Short Leg of Trapezoid = Height of Trapezoid/(sin(Larger Acute Angle of Trapezoid)). This formula also uses Sine (sin) function(s).

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

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

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

Can the Short Leg of Trapezoid given Height be negative?

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

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

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

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