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Long Base of Trapezoid given Height and Both Diagonals Formula

GoLong Base of Trapezoid Formula

GoLong Base of Trapezoid given Central Median Formula

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

B Long = (\frac{d Long \cdot d Short}{h} \cdot \sin (∠ d(Leg))) - B Short

B_Long - Long Base of Trapezoid?d_Long - Long Diagonal of Trapezoid?d_Short - Short Diagonal of Trapezoid?h - Height of Trapezoid?∠_d(Leg) - Leg Angle between Diagonals of Trapezoid?B_Short - Short Base of Trapezoid?

Long Base of Trapezoid given Height and Both Diagonals Example

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Here is how the Long Base of Trapezoid given Height and Both Diagonals equation looks like with Values.

Here is how the Long Base of Trapezoid given Height and Both Diagonals equation looks like with Units.

Here is how the Long Base of Trapezoid given Height and Both Diagonals equation looks like.

15.681 = (\frac{14 \cdot 12}{8} \cdot \sin (80)) - 5

15.681m = (\frac{14m \cdot 12m}{8m} \cdot \sin (80°)) - 5m

15.681 = (\frac{14 \cdot 12}{8} \cdot \sin (80)) - 5

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Long Base of Trapezoid given Height and Both Diagonals Solution

Follow our step by step solution on how to calculate Long Base of Trapezoid given Height and Both Diagonals?

FIRST Step Consider the formula

B Long = (\frac{d Long \cdot d Short}{h} \cdot \sin (∠ d(Leg))) - B Short

Next Step Substitute values of Variables

∴

B Long = (\frac{14m \cdot 12m}{8m} \cdot \sin (80°)) - 5m

Next Step Convert Units

∴

B Long = (\frac{14m \cdot 12m}{8m} \cdot \sin (1.3963rad)) - 5m

Next Step Prepare to Evaluate

∴

B Long = (\frac{14 \cdot 12}{8} \cdot \sin (1.3963)) - 5

Next Step Evaluate

∴

B Long = 15.6809628132554m

LAST Step Rounding Answer

∴

B Long = 15.681m

Long Base of Trapezoid given Height and Both Diagonals Formula Elements

Variables

Functions

Long Base of Trapezoid

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

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Trapezoid

Long Diagonal of Trapezoid

Long Diagonal of Trapezoid is the length of the line joining the corners of smaller acute angle and smaller obtuse angle of the Trapezoid.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Trapezoid

Short Diagonal of Trapezoid

Short Diagonal of Trapezoid is the length of the line joining the corners of larger acute angle and larger obtuse angle of the Trapezoid.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Diagonal 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

Leg Angle between Diagonals of Trapezoid

Leg Angle between Diagonals of Trapezoid is the angle made by the diagonals of the Trapezoid which is near to any of the pair of non parallel and opposite legs of the Trapezoid.

Symbol: ∠_d(Leg)

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Leg Angle between Diagonals of Trapezoid

Short Base of Trapezoid

Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base 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 Long Base of Trapezoid

Go Long Base of Trapezoid

B Long = \frac{2 \cdot A}{h} - B Short

Go Long Base of Trapezoid given Central Median

B Long = (2 \cdot M) - B Short

Go Long Base of Trapezoid given Height

B Long = B Short + (h \cdot (\cot (∠ Larger Acute) + \cot (∠ Smaller Acute)))

Go Long Base of Trapezoid given Long Leg

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

How to Evaluate Long Base of Trapezoid given Height and Both Diagonals?

Long Base of Trapezoid given Height and Both Diagonals evaluator uses Long Base of Trapezoid = ((Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/Height of Trapezoid*sin(Leg Angle between Diagonals of Trapezoid))-Short Base of Trapezoid to evaluate the Long Base of Trapezoid, Long Base of Trapezoid given Height and Both Diagonals formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the height and both diagonals of the Trapezoid. Long Base of Trapezoid is denoted by B_Long symbol.

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

FAQs on Long Base of Trapezoid given Height and Both Diagonals

What is the formula to find Long Base of Trapezoid given Height and Both Diagonals?

The formula of Long Base of Trapezoid given Height and Both Diagonals is expressed as Long Base of Trapezoid = ((Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/Height of Trapezoid*sin(Leg Angle between Diagonals of Trapezoid))-Short Base of Trapezoid. Here is an example- 15.68096 = ((14*12)/8*sin(1.3962634015952))-5.

How to calculate Long Base of Trapezoid given Height and Both Diagonals?

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

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

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

Long Base of Trapezoid=(2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid
Long Base of Trapezoid=(2*Central Median of Trapezoid)-Short Base of Trapezoid
Long Base of Trapezoid=Short Base of Trapezoid+(Height of Trapezoid*(cot(Larger Acute Angle of Trapezoid)+cot(Smaller Acute Angle of Trapezoid)))

Can the Long Base of Trapezoid given Height and Both Diagonals be negative?

No, the Long Base of Trapezoid given Height and Both Diagonals, measured in Length cannot be negative.

Which unit is used to measure Long Base of Trapezoid given Height and Both Diagonals?

Long Base of Trapezoid given Height and Both 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 Trapezoid given Height and Both Diagonals can be measured.

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Long Base of Trapezoid given Height and Both Diagonals Formula

​GoLong Base of Trapezoid Formula

​GoLong Base of Trapezoid given Central Median Formula

Long Base of Trapezoid given Height and Both Diagonals Example

Long Base of Trapezoid given Height and Both Diagonals Solution

Long Base of Trapezoid given Height and Both Diagonals Formula Elements

Other Formulas to find Long Base of Trapezoid

How to Evaluate Long Base of Trapezoid given Height and Both Diagonals?

FAQs on Long Base of Trapezoid given Height and Both Diagonals

Variable Name

GoLong Base of Trapezoid Formula

GoLong Base of Trapezoid given Central Median Formula