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Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle Formula

GoShort Base of Right Trapezoid given Central Median and Long Base Formula

GoShort Base of Right Trapezoid given Right Angle Side, Long Base, and Acute Angle Formula

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

B Short = B Long - (S Slant \cdot \cos (∠ Acute))

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

Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle Example

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Here is how the Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle equation looks like with Values.

Here is how the Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle equation looks like with Units.

Here is how the Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle equation looks like.

15.3512 = 20 - (11 \cdot \cos (65))

15.3512m = 20m - (11m \cdot \cos (65°))

15.3512 = 20 - (11 \cdot \cos (65))

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Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle Solution

Follow our step by step solution on how to calculate Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle?

FIRST Step Consider the formula

B Short = B Long - (S Slant \cdot \cos (∠ Acute))

Next Step Substitute values of Variables

∴

B Short = 20m - (11m \cdot \cos (65°))

Next Step Convert Units

∴

B Short = 20m - (11m \cdot \cos (1.1345rad))

Next Step Prepare to Evaluate

∴

B Short = 20 - (11 \cdot \cos (1.1345))

Next Step Evaluate

∴

B Short = 15.3511991208502m

LAST Step Rounding Answer

∴

B Short = 15.3512m

Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle Formula Elements

Variables

Functions

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

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

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

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Short Base of Right Trapezoid

Go Short Base of Right Trapezoid given Central Median and Long Base

B Short = 2 \cdot M Central - B Long

Go Short Base of Right Trapezoid given Right Angle Side, Long Base, and Acute Angle

B Short = B Long - (S ∠Right \cdot \cot (∠ Acute))

Go Short Base of Right Trapezoid given both Sides and Long Base

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

Go Short Base of Right Trapezoid given Diagonals, Right Angle Side, Angle between Diagonals, Long Base

B Short = (\frac{d Long \cdot d Short}{S ∠Right} \cdot \sin (∠ Diagonals)) - B Long

How to Evaluate Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle?

Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle evaluator uses Short Base of Right Trapezoid = Long Base of Right Trapezoid-(Slant Side of Right Trapezoid*cos(Acute Angle of Right Trapezoid)) to evaluate the Short Base of Right Trapezoid, Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle formula is defined as the shorter side among the pair of parallel edges of Right Trapezoid, calculated using slant side, long base, and acute angle. Short Base of Right Trapezoid is denoted by B_Short symbol.

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

FAQs on Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle

What is the formula to find Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle?

The formula of Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle is expressed as Short Base of Right Trapezoid = Long Base of Right Trapezoid-(Slant Side of Right Trapezoid*cos(Acute Angle of Right Trapezoid)). Here is an example- 15.3512 = 20-(11*cos(1.1344640137961)).

How to calculate Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle?

With Long Base of Right Trapezoid (B_Long), Slant Side of Right Trapezoid (S_Slant) & Acute Angle of Right Trapezoid (∠_Acute) we can find Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle using the formula - Short Base of Right Trapezoid = Long Base of Right Trapezoid-(Slant Side of Right Trapezoid*cos(Acute Angle of Right Trapezoid)). This formula also uses Cosine function(s).

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

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

Short Base of Right Trapezoid=2*Central Median of Right Trapezoid-Long Base of Right Trapezoid
Short Base of Right Trapezoid=Long Base of Right Trapezoid-(Right Angle Side of Right Trapezoid*cot(Acute Angle of Right Trapezoid))
Short Base of Right Trapezoid=Long Base of Right Trapezoid-sqrt(Slant Side of Right Trapezoid^2-Right Angle Side of Right Trapezoid^2)

Can the Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle be negative?

No, the Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle, measured in Length cannot be negative.

Which unit is used to measure Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle?

Short Base of Right Trapezoid given Slant Side, Long Base, 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 Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle can be measured.

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Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle Formula

​GoShort Base of Right Trapezoid given Central Median and Long Base Formula

​GoShort Base of Right Trapezoid given Right Angle Side, Long Base, and Acute Angle Formula

Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle Example

Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle Solution

Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle Formula Elements

Other Formulas to find Short Base of Right Trapezoid

How to Evaluate Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle?

FAQs on Short Base of Right Trapezoid given Slant Side, Long Base, and Acute Angle

Variable Name

GoShort Base of Right Trapezoid given Central Median and Long Base Formula

GoShort Base of Right Trapezoid given Right Angle Side, Long Base, and Acute Angle Formula