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Short Base of Trapezoid given Height Formula

GoShort Base of Trapezoid Formula

GoShort Base of Trapezoid given Central Median Formula

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

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

B_Short - Short Base of Trapezoid?B_Long - Long Base of Trapezoid?h - Height of Trapezoid?∠_{Smaller Acute} - Smaller Acute Angle of Trapezoid?∠_{Larger Acute} - Larger Acute Angle of Trapezoid?

Short Base of Trapezoid given Height Example

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Here is how the Short Base of Trapezoid given Height equation looks like with Values.

Here is how the Short Base of Trapezoid given Height equation looks like with Units.

Here is how the Short Base of Trapezoid given Height equation looks like.

5.3754 = 15 - (8 \cdot (\cot (50) + \cot (70)))

5.3754m = 15m - (8m \cdot (\cot (50°) + \cot (70°)))

5.3754 = 15 - (8 \cdot (\cot (50) + \cot (70)))

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Short Base of Trapezoid given Height Solution

Follow our step by step solution on how to calculate Short Base of Trapezoid given Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B Short = 15m - (8m \cdot (\cot (50°) + \cot (70°)))

Next Step Convert Units

∴

B Short = 15m - (8m \cdot (\cot (0.8727rad) + \cot (1.2217rad)))

Next Step Prepare to Evaluate

∴

B Short = 15 - (8 \cdot (\cot (0.8727) + \cot (1.2217)))

Next Step Evaluate

∴

B Short = 5.37544107644782m

LAST Step Rounding Answer

∴

B Short = 5.3754m

Short Base of Trapezoid given Height Formula Elements

Variables

Functions

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

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

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

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

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other Formulas to find Short Base of Trapezoid

Go Short Base of Trapezoid

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

Go Short Base of Trapezoid given Central Median

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

Go Short Base of Trapezoid given Short Leg

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

Go Short Base of Trapezoid given Long Leg

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

How to Evaluate Short Base of Trapezoid given Height?

Short Base of Trapezoid given Height evaluator uses Short Base of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))) to evaluate the Short Base of Trapezoid, Short Base of Trapezoid given Height formula is defined as the shorter side among the pair of parallel sides of the Trapezoid, and calculated using the height of the Trapezoid. Short Base of Trapezoid is denoted by B_Short symbol.

How to evaluate Short Base of Trapezoid given Height using this online evaluator? To use this online evaluator for Short Base of Trapezoid given Height, enter Long Base of Trapezoid (B_Long), Height of Trapezoid (h), Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) & Larger Acute Angle of Trapezoid (∠_{Larger Acute}) and hit the calculate button.

FAQs on Short Base of Trapezoid given Height

What is the formula to find Short Base of Trapezoid given Height?

The formula of Short Base of Trapezoid given Height is expressed as Short Base of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))). Here is an example- 5.375441 = 15-(8*(cot(0.872664625997001)+cot(1.2217304763958))).

How to calculate Short Base of Trapezoid given Height?

With Long Base of Trapezoid (B_Long), Height of Trapezoid (h), Smaller Acute Angle of Trapezoid (∠_{Smaller Acute}) & Larger Acute Angle of Trapezoid (∠_{Larger Acute}) we can find Short Base of Trapezoid given Height using the formula - Short Base of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))). This formula also uses Cotangent (cot) function(s).

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

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

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

Can the Short Base of Trapezoid given Height be negative?

No, the Short Base of Trapezoid given Height, measured in Length cannot be negative.

Which unit is used to measure Short Base of Trapezoid given Height?

Short Base of Trapezoid given Height 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 Trapezoid given Height can be measured.

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Short Base of Trapezoid given Height Formula

​GoShort Base of Trapezoid Formula

​GoShort Base of Trapezoid given Central Median Formula

Short Base of Trapezoid given Height Example

Short Base of Trapezoid given Height Solution

Short Base of Trapezoid given Height Formula Elements

Other Formulas to find Short Base of Trapezoid

How to Evaluate Short Base of Trapezoid given Height?

FAQs on Short Base of Trapezoid given Height

Variable Name

GoShort Base of Trapezoid Formula

GoShort Base of Trapezoid given Central Median Formula