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Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals Formula

GoLong Base of Right Trapezoid given Central Median and Short base Formula

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

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

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

B_Long - Long Base of Right Trapezoid?d_Long - Long Diagonal of Right Trapezoid?d_Short - Short Diagonal of Right Trapezoid?S_∠Right - Right Angle Side of Right Trapezoid?∠_Diagonals - Angle between Diagonals of Right Trapezoid?B_Short - Short Base of Right Trapezoid?

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals Example

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

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

Here is how the Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals equation looks like.

19.2946 = (\frac{22 \cdot 18}{10} \cdot \sin (60)) - 15

19.2946m = (\frac{22m \cdot 18m}{10m} \cdot \sin (60°)) - 15m

19.2946 = (\frac{22 \cdot 18}{10} \cdot \sin (60)) - 15

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Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B Long = (\frac{22m \cdot 18m}{10m} \cdot \sin (60°)) - 15m

Next Step Convert Units

∴

B Long = (\frac{22m \cdot 18m}{10m} \cdot \sin (1.0472rad)) - 15m

Next Step Prepare to Evaluate

∴

B Long = (\frac{22 \cdot 18}{10} \cdot \sin (1.0472)) - 15

Next Step Evaluate

∴

B Long = 19.2946059898599m

LAST Step Rounding Answer

∴

B Long = 19.2946m

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals Formula Elements

Variables

Functions

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

Long Diagonal of Right Trapezoid

Long Diagonal of Right Trapezoid is the longest line joining the acute angle corner to the opposite vertex of the Right Trapezoid.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Right Trapezoid

Short Diagonal of Right Trapezoid

Short Diagonal of Right Trapezoid is the short line joining obtuse angle corner to the opposite vertex of the Right Trapezoid.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal of Right Trapezoid

Right Angle Side of Right Trapezoid

Right Angle Side of Right Trapezoid is the non-parallel side of the Right Trapezoid which is also equal to the height of the Right Trapezoid.

Symbol: S_∠Right

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Right Angle Side of Right Trapezoid

Angle between Diagonals of Right Trapezoid

Angle between Diagonals of Right Trapezoid is the angle formed at the point of intersection of both the diagonals of the Right Trapezoid.

Symbol: ∠_Diagonals

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle between Diagonals 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

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 Base of Right Trapezoid

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

B Long = 2 \cdot M Central - B Short

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

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

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

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

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

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

How to Evaluate Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals?

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals evaluator uses Long Base of Right Trapezoid = ((Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/Right Angle Side of Right Trapezoid*sin(Angle between Diagonals of Right Trapezoid))-Short Base of Right Trapezoid to evaluate the Long Base of Right Trapezoid, Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals formula is defined as the longer side among the pair of parallel edges of Right Trapezoid, calculated using diagonals, right angle side and angle between diagonals. Long Base of Right Trapezoid is denoted by B_Long symbol.

How to evaluate Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals using this online evaluator? To use this online evaluator for Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals, enter Long Diagonal of Right Trapezoid (d_Long), Short Diagonal of Right Trapezoid (d_Short), Right Angle Side of Right Trapezoid (S_∠Right), Angle between Diagonals of Right Trapezoid (∠_Diagonals) & Short Base of Right Trapezoid (B_Short) and hit the calculate button.

FAQs on Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals

What is the formula to find Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals?

The formula of Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals is expressed as Long Base of Right Trapezoid = ((Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/Right Angle Side of Right Trapezoid*sin(Angle between Diagonals of Right Trapezoid))-Short Base of Right Trapezoid. Here is an example- 19.29461 = ((22*18)/10*sin(1.0471975511964))-15.

How to calculate Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals?

With Long Diagonal of Right Trapezoid (d_Long), Short Diagonal of Right Trapezoid (d_Short), Right Angle Side of Right Trapezoid (S_∠Right), Angle between Diagonals of Right Trapezoid (∠_Diagonals) & Short Base of Right Trapezoid (B_Short) we can find Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals using the formula - Long Base of Right Trapezoid = ((Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/Right Angle Side of Right Trapezoid*sin(Angle between Diagonals of Right Trapezoid))-Short Base of Right Trapezoid. This formula also uses Sine function(s).

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

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

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

Can the Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals be negative?

No, the Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals, measured in Length cannot be negative.

Which unit is used to measure Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals?

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals can be measured.

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Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals Formula

​GoLong Base of Right Trapezoid given Central Median and Short base Formula

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

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals Example

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals Solution

Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals Formula Elements

Other Formulas to find Long Base of Right Trapezoid

How to Evaluate Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals?

FAQs on Long Base of Right Trapezoid given Diagonals, Right Angle Side, and Angle between Diagonals

Variable Name

GoLong Base of Right Trapezoid given Central Median and Short base Formula

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