FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Short Leg of Trapezoid given Long Leg Formula

GoShort Leg of Trapezoid Formula

GoShort Leg of Trapezoid given Height Formula

Fx Copy

LaTeX Copy

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

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

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

Short Leg of Trapezoid given Long Leg Example

With values

With units

Only example

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

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

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

8.9673 = 11 \cdot \frac{\sin (50)}{\sin (70)}

8.9673m = 11m \cdot \frac{\sin (50°)}{\sin (70°)}

8.9673 = 11 \cdot \frac{\sin (50)}{\sin (70)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Short Leg of Trapezoid given Long Leg

Short Leg of Trapezoid given Long Leg Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L Short = 11m \cdot \frac{\sin (50°)}{\sin (70°)}

Next Step Convert Units

∴

L Short = 11m \cdot \frac{\sin (0.8727rad)}{\sin (1.2217rad)}

Next Step Prepare to Evaluate

∴

L Short = 11 \cdot \frac{\sin (0.8727)}{\sin (1.2217)}

Next Step Evaluate

∴

L Short = 8.96728216005447m

LAST Step Rounding Answer

∴

L Short = 8.9673m

Short Leg of Trapezoid given Long Leg 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

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 Leg of Trapezoid

Go Short Leg of Trapezoid

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

Go Short Leg of Trapezoid given Height

L Short = \frac{h}{\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 Long Leg?

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

How to evaluate Short Leg of Trapezoid given Long Leg using this online evaluator? To use this online evaluator for Short Leg of Trapezoid given Long Leg, enter 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 Leg of Trapezoid given Long Leg

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

The formula of Short Leg of Trapezoid given Long Leg is expressed as Short Leg of Trapezoid = Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid)). Here is an example- 8.967282 = 11*(sin(0.872664625997001))/(sin(1.2217304763958)).

How to calculate Short Leg of Trapezoid given Long Leg?

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

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit