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Central Median of Trapezoid given Height, and Long Base Formula

GoCentral Median of Trapezoid Formula

GoCentral Median of Trapezoid given Height, and Short Base Formula

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Central Median of Trapezoid is the length of the line joining the midpoints of both legs or the non parallel pair of opposite sides of the Trapezoid. Check FAQs

M = B Long - (h \cdot \frac{\cot (∠ Smaller Acute) + \cot (∠ Larger Acute)}{2})

M - Central Median 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?

Central Median of Trapezoid given Height, and Long Base Example

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Here is how the Central Median of Trapezoid given Height, and Long Base equation looks like with Values.

Here is how the Central Median of Trapezoid given Height, and Long Base equation looks like with Units.

Here is how the Central Median of Trapezoid given Height, and Long Base equation looks like.

10.1877 = 15 - (8 \cdot \frac{\cot (50) + \cot (70)}{2})

10.1877m = 15m - (8m \cdot \frac{\cot (50°) + \cot (70°)}{2})

10.1877 = 15 - (8 \cdot \frac{\cot (50) + \cot (70)}{2})

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Central Median of Trapezoid given Height, and Long Base Solution

Follow our step by step solution on how to calculate Central Median of Trapezoid given Height, and Long Base?

FIRST Step Consider the formula

M = B Long - (h \cdot \frac{\cot (∠ Smaller Acute) + \cot (∠ Larger Acute)}{2})

Next Step Substitute values of Variables

∴

M = 15m - (8m \cdot \frac{\cot (50°) + \cot (70°)}{2})

Next Step Convert Units

∴

M = 15m - (8m \cdot \frac{\cot (0.8727rad) + \cot (1.2217rad)}{2})

Next Step Prepare to Evaluate

∴

M = 15 - (8 \cdot \frac{\cot (0.8727) + \cot (1.2217)}{2})

Next Step Evaluate

∴

M = 10.1877205382239m

LAST Step Rounding Answer

∴

M = 10.1877m

Central Median of Trapezoid given Height, and Long Base Formula Elements

Variables

Functions

Central Median of Trapezoid

Central Median of Trapezoid is the length of the line joining the midpoints of both legs or the non parallel pair of opposite sides of the Trapezoid.

Symbol: M

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Central Median 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 Central Median of Trapezoid

Go Central Median of Trapezoid

M = \frac{B Long + B Short}{2}

Go Central Median of Trapezoid given Height, and Short Base

M = B Short + (h \cdot \frac{\cot (∠ Smaller Acute) + \cot (∠ Larger Acute)}{2})

How to Evaluate Central Median of Trapezoid given Height, and Long Base?

Central Median of Trapezoid given Height, and Long Base evaluator uses Central Median of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2) to evaluate the Central Median of Trapezoid, Central Median of Trapezoid given Height, and Long Base formula is defined as the length of the line joining the midpoints of both legs or the non parallel pair of opposite sides of the Trapezoid, and calculated using height, and long base of the Trapezoid. Central Median of Trapezoid is denoted by M symbol.

How to evaluate Central Median of Trapezoid given Height, and Long Base using this online evaluator? To use this online evaluator for Central Median of Trapezoid given Height, and Long Base, 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 Central Median of Trapezoid given Height, and Long Base

What is the formula to find Central Median of Trapezoid given Height, and Long Base?

The formula of Central Median of Trapezoid given Height, and Long Base is expressed as Central Median of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2). Here is an example- 10.18772 = 15-(8*(cot(0.872664625997001)+cot(1.2217304763958))/2).

How to calculate Central Median of Trapezoid given Height, and Long Base?

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 Central Median of Trapezoid given Height, and Long Base using the formula - Central Median of Trapezoid = Long Base of Trapezoid-(Height of Trapezoid*(cot(Smaller Acute Angle of Trapezoid)+cot(Larger Acute Angle of Trapezoid))/2). This formula also uses Cotangent (cot) function(s).

What are the other ways to Calculate Central Median of Trapezoid?

Here are the different ways to Calculate Central Median of Trapezoid-

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

Can the Central Median of Trapezoid given Height, and Long Base be negative?

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

Which unit is used to measure Central Median of Trapezoid given Height, and Long Base?

Central Median of Trapezoid given Height, and Long Base is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Central Median of Trapezoid given Height, and Long Base can be measured.

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Central Median of Trapezoid given Height, and Long Base Formula

​GoCentral Median of Trapezoid Formula

​GoCentral Median of Trapezoid given Height, and Short Base Formula

Central Median of Trapezoid given Height, and Long Base Example

Central Median of Trapezoid given Height, and Long Base Solution

Central Median of Trapezoid given Height, and Long Base Formula Elements

Other Formulas to find Central Median of Trapezoid

How to Evaluate Central Median of Trapezoid given Height, and Long Base?

FAQs on Central Median of Trapezoid given Height, and Long Base

Variable Name

GoCentral Median of Trapezoid Formula

GoCentral Median of Trapezoid given Height, and Short Base Formula