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Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Formula

GoSlant Side of Right Trapezoid Formula

GoSlant Side of Right Trapezoid given Acute Angle and Right Angle Side Formula

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Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid. Check FAQs

S Slant = \frac{2 \cdot A}{(B Long + B Short) \cdot \sin (∠ Acute)}

S_Slant - Slant Side of Right Trapezoid?A - Area of Right Trapezoid?B_Long - Long Base of Right Trapezoid?B_Short - Short Base of Right Trapezoid?∠_Acute - Acute Angle of Right Trapezoid?

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Example

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Here is how the Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle equation looks like with Values.

Here is how the Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle equation looks like with Units.

Here is how the Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle equation looks like.

11.0338 = \frac{2 \cdot 175}{(20 + 15) \cdot \sin (65)}

11.0338m = \frac{2 \cdot 175m²}{(20m + 15m) \cdot \sin (65°)}

11.0338 = \frac{2 \cdot 175}{(20 + 15) \cdot \sin (65)}

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Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Solution

Follow our step by step solution on how to calculate Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle?

FIRST Step Consider the formula

S Slant = \frac{2 \cdot A}{(B Long + B Short) \cdot \sin (∠ Acute)}

Next Step Substitute values of Variables

∴

S Slant = \frac{2 \cdot 175m²}{(20m + 15m) \cdot \sin (65°)}

Next Step Convert Units

∴

S Slant = \frac{2 \cdot 175m²}{(20m + 15m) \cdot \sin (1.1345rad)}

Next Step Prepare to Evaluate

∴

S Slant = \frac{2 \cdot 175}{(20 + 15) \cdot \sin (1.1345)}

Next Step Evaluate

∴

S Slant = 11.033779189626m

LAST Step Rounding Answer

∴

S Slant = 11.0338m

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Formula Elements

Variables

Functions

Slant Side of Right Trapezoid

Slant Side of Right Trapezoid is the slanted side or longest side among the pair of non parallel edges of the Right Trapezoid.

Symbol: S_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Side of Right Trapezoid

Area of Right Trapezoid

Area of Right Trapezoid is the amount of region or 2-dimensional space occupied by the Right Trapezoid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Right Trapezoid

Long Base of Right Trapezoid

Long Base of Right Trapezoid is the longer side among the pair of parallel edges.

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Right Trapezoid

Short Base of Right Trapezoid

The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base of Right Trapezoid

Acute Angle of Right Trapezoid

Acute Angle of Right Trapezoid is defined as the angle formed between long base and slant side of the Right Trapezoid.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Right 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 Slant Side of Right Trapezoid

Go Slant Side of Right Trapezoid

S Slant = \sqrt{{S ∠Right}^{2} + {(B Long - B Short)}^{2}}

Go Slant Side of Right Trapezoid given Acute Angle and Right Angle Side

S Slant = \frac{S ∠Right}{\sin (∠ Acute)}

Go Slant Side of Right Trapezoid given Acute Angle and Height

S Slant = \frac{h}{\sin (∠ Acute)}

Go Slant Side of Right Trapezoid given Area, Central Median, and Acute Angle

S Slant = \frac{A}{M Central \cdot \sin (∠ Acute)}

How to Evaluate Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle?

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle evaluator uses Slant Side of Right Trapezoid = (2*Area of Right Trapezoid)/((Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Acute Angle of Right Trapezoid)) to evaluate the Slant Side of Right Trapezoid, Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle formula is defined as the non-parallel slant side of the Right Trapezoid, calculated using area, both bases, and acute angle. Slant Side of Right Trapezoid is denoted by S_Slant symbol.

How to evaluate Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle using this online evaluator? To use this online evaluator for Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle, enter Area of Right Trapezoid (A), Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Acute Angle of Right Trapezoid (∠_Acute) and hit the calculate button.

FAQs on Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle

What is the formula to find Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle?

The formula of Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle is expressed as Slant Side of Right Trapezoid = (2*Area of Right Trapezoid)/((Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Acute Angle of Right Trapezoid)). Here is an example- 11.03378 = (2*175)/((20+15)*sin(1.1344640137961)).

How to calculate Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle?

With Area of Right Trapezoid (A), Long Base of Right Trapezoid (B_Long), Short Base of Right Trapezoid (B_Short) & Acute Angle of Right Trapezoid (∠_Acute) we can find Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle using the formula - Slant Side of Right Trapezoid = (2*Area of Right Trapezoid)/((Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Acute Angle of Right Trapezoid)). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Slant Side of Right Trapezoid?

Here are the different ways to Calculate Slant Side of Right Trapezoid-

Slant Side of Right Trapezoid=sqrt(Right Angle Side of Right Trapezoid^2+(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2)
Slant Side of Right Trapezoid=Right Angle Side of Right Trapezoid/sin(Acute Angle of Right Trapezoid)
Slant Side of Right Trapezoid=Height of Right Trapezoid/sin(Acute Angle of Right Trapezoid)

Can the Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle be negative?

No, the Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle, measured in Length cannot be negative.

Which unit is used to measure Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle?

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle can be measured.

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Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Formula

​GoSlant Side of Right Trapezoid Formula

​GoSlant Side of Right Trapezoid given Acute Angle and Right Angle Side Formula

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Example

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Solution

Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle Formula Elements

Other Formulas to find Slant Side of Right Trapezoid

How to Evaluate Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle?

FAQs on Slant Side of Right Trapezoid given Area, both Bases, and Acute Angle

Variable Name

GoSlant Side of Right Trapezoid Formula

GoSlant Side of Right Trapezoid given Acute Angle and Right Angle Side Formula