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Central Median of Isosceles Trapezoid given Area and Lateral Edge Formula

GoCentral Median of Isosceles Trapezoid Formula

GoCentral Median of Isosceles Trapezoid given Short Base and Acute Angle Formula

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Central Median of Isosceles Trapezoid is the length of the line joining the midpoints of both lateral and non parallel edges of the Isosceles Trapezoid. Check FAQs

M = \frac{A}{l e(Lateral) \cdot \sin (∠ Acute)}

M - Central Median of Isosceles Trapezoid?A - Area of Isosceles Trapezoid?l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?∠_Acute - Acute Angle of Isosceles Trapezoid?

Central Median of Isosceles Trapezoid given Area and Lateral Edge Example

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Here is how the Central Median of Isosceles Trapezoid given Area and Lateral Edge equation looks like with Values.

Here is how the Central Median of Isosceles Trapezoid given Area and Lateral Edge equation looks like with Units.

Here is how the Central Median of Isosceles Trapezoid given Area and Lateral Edge equation looks like.

12.2077 = \frac{50}{5 \cdot \sin (55)}

12.2077m = \frac{50m²}{5m \cdot \sin (55°)}

12.2077 = \frac{50}{5 \cdot \sin (55)}

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Central Median of Isosceles Trapezoid given Area and Lateral Edge Solution

Follow our step by step solution on how to calculate Central Median of Isosceles Trapezoid given Area and Lateral Edge?

FIRST Step Consider the formula

M = \frac{A}{l e(Lateral) \cdot \sin (∠ Acute)}

Next Step Substitute values of Variables

∴

M = \frac{50m²}{5m \cdot \sin (55°)}

Next Step Convert Units

∴

M = \frac{50m²}{5m \cdot \sin (0.9599rad)}

Next Step Prepare to Evaluate

∴

M = \frac{50}{5 \cdot \sin (0.9599)}

Next Step Evaluate

∴

M = 12.2077458876161m

LAST Step Rounding Answer

∴

M = 12.2077m

Central Median of Isosceles Trapezoid given Area and Lateral Edge Formula Elements

Variables

Functions

Central Median of Isosceles Trapezoid

Central Median of Isosceles Trapezoid is the length of the line joining the midpoints of both lateral and non parallel edges of the Isosceles Trapezoid.

Symbol: M

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Central Median of Isosceles Trapezoid

Area of Isosceles Trapezoid

Area of Isosceles Trapezoid is the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge of Isosceles Trapezoid

Acute Angle of Isosceles Trapezoid

Acute Angle of Isosceles Trapezoid is any of the angles on the longer base edge made with the lateral and non parallel edges of the Isosceles Trapezoid.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Isosceles 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 Central Median of Isosceles Trapezoid

Go Central Median of Isosceles Trapezoid

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

Go Central Median of Isosceles Trapezoid given Short Base and Acute Angle

M = B Short + (h \cdot \cot (∠ Acute))

Go Central Median of Isosceles Trapezoid given Lateral Edge and Long Base

M = B Long - \sqrt{{l e(Lateral)}^{2} - h^{2}}

Go Central Median of Isosceles Trapezoid given Lateral Edge and Short Base

M = B Short + \sqrt{{l e(Lateral)}^{2} - h^{2}}

How to Evaluate Central Median of Isosceles Trapezoid given Area and Lateral Edge?

Central Median of Isosceles Trapezoid given Area and Lateral Edge evaluator uses Central Median of Isosceles Trapezoid = Area of Isosceles Trapezoid/(Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)) to evaluate the Central Median of Isosceles Trapezoid, Central Median of Isosceles Trapezoid given Area and Lateral Edge is defined as the length of the line joining the midpoints of both lateral and non parallel edges of the Isosceles Trapezoid, and calculated using the area and lateral edge of the Isosceles Trapezoid. Central Median of Isosceles Trapezoid is denoted by M symbol.

How to evaluate Central Median of Isosceles Trapezoid given Area and Lateral Edge using this online evaluator? To use this online evaluator for Central Median of Isosceles Trapezoid given Area and Lateral Edge, enter Area of Isosceles Trapezoid (A), Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Acute Angle of Isosceles Trapezoid (∠_Acute) and hit the calculate button.

FAQs on Central Median of Isosceles Trapezoid given Area and Lateral Edge

What is the formula to find Central Median of Isosceles Trapezoid given Area and Lateral Edge?

The formula of Central Median of Isosceles Trapezoid given Area and Lateral Edge is expressed as Central Median of Isosceles Trapezoid = Area of Isosceles Trapezoid/(Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)). Here is an example- 12.20775 = 50/(5*sin(0.959931088596701)).

How to calculate Central Median of Isosceles Trapezoid given Area and Lateral Edge?

With Area of Isosceles Trapezoid (A), Lateral Edge of Isosceles Trapezoid (l_e(Lateral)) & Acute Angle of Isosceles Trapezoid (∠_Acute) we can find Central Median of Isosceles Trapezoid given Area and Lateral Edge using the formula - Central Median of Isosceles Trapezoid = Area of Isosceles Trapezoid/(Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)). This formula also uses Sine (sin) function(s).

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

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

Central Median of Isosceles Trapezoid=(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)/2
Central Median of Isosceles Trapezoid=Short Base of Isosceles Trapezoid+(Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))
Central Median of Isosceles Trapezoid=Long Base of Isosceles Trapezoid-sqrt(Lateral Edge of Isosceles Trapezoid^2-Height of Isosceles Trapezoid^2)

Can the Central Median of Isosceles Trapezoid given Area and Lateral Edge be negative?

No, the Central Median of Isosceles Trapezoid given Area and Lateral Edge, measured in Length cannot be negative.

Which unit is used to measure Central Median of Isosceles Trapezoid given Area and Lateral Edge?

Central Median of Isosceles Trapezoid given Area and Lateral Edge 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 Isosceles Trapezoid given Area and Lateral Edge can be measured.

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Central Median of Isosceles Trapezoid given Area and Lateral Edge Formula

​GoCentral Median of Isosceles Trapezoid Formula

​GoCentral Median of Isosceles Trapezoid given Short Base and Acute Angle Formula

Central Median of Isosceles Trapezoid given Area and Lateral Edge Example

Central Median of Isosceles Trapezoid given Area and Lateral Edge Solution

Central Median of Isosceles Trapezoid given Area and Lateral Edge Formula Elements

Other Formulas to find Central Median of Isosceles Trapezoid

How to Evaluate Central Median of Isosceles Trapezoid given Area and Lateral Edge?

FAQs on Central Median of Isosceles Trapezoid given Area and Lateral Edge

Variable Name

GoCentral Median of Isosceles Trapezoid Formula

GoCentral Median of Isosceles Trapezoid given Short Base and Acute Angle Formula