Central Median of Trapezoid given Area Calculator

✖Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid.ⓘ Area of Trapezoid [A]			+10% -10%
✖Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.ⓘ Height of Trapezoid [h]			+10% -10%

✖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.ⓘ Central Median of Trapezoid given Area [M]

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Formula

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Central Median of Trapezoid given Area

Formula

`"M" = "A"/"h"`

Example

`"10.625m"="85m²"/"8m"`

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Central Median of Trapezoid given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Median of Trapezoid = Area of Trapezoid/Height of Trapezoid
M = A/h
This formula uses 3 Variables

Variables Used

Central Median of Trapezoid - (Measured in Meter) - 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.
Area of Trapezoid - (Measured in Square Meter) - Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid.
Height of Trapezoid - (Measured in Meter) - Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Area of Trapezoid: 85 Square Meter --> 85 Square Meter No Conversion Required
Height of Trapezoid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = A/h --> 85/8

Evaluating ... ...

M = 10.625

STEP 3: Convert Result to Output's Unit

10.625 Meter --> No Conversion Required

FINAL ANSWER

10.625 Meter <-- Central Median of Trapezoid

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Technology (IIT), Mumbai

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< 6 Central Median of Trapezoid Calculators

Central Median of Trapezoid given Height, and Short Base

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

Central Median of Trapezoid given Height, and Long Base

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

Central Median of Trapezoid given Both Diagonals and Base Angle between Diagonals

Go Central Median of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(2*Height of Trapezoid)*sin(Base Angle between Diagonals of Trapezoid)

Central Median of Trapezoid given Both Diagonals and Leg Angle between Diagonals

Go Central Median of Trapezoid = (Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/(2*Height of Trapezoid)*sin(Leg Angle between Diagonals of Trapezoid)

Central Median of Trapezoid

Go Central Median of Trapezoid = (Long Base of Trapezoid+Short Base of Trapezoid)/2

Central Median of Trapezoid given Area

Go Central Median of Trapezoid = Area of Trapezoid/Height of Trapezoid

Central Median of Trapezoid given Area Formula

Central Median of Trapezoid = Area of Trapezoid/Height of Trapezoid
M = A/h

What is a Trapezoid?

Trapezoid is a quadrilateral with one pair of opposite and parallel sides. The pair of parallel sides is called the bases of the Trapezoid and the pair of non parallel edges is called the legs of the Trapezoid. Out of the four angles, in general a Trapezoid has 2 acute angles and 2 obtuse angles which are pairwise supplementary angles.

How to Calculate Central Median of Trapezoid given Area?

Central Median of Trapezoid given Area calculator uses Central Median of Trapezoid = Area of Trapezoid/Height of Trapezoid to calculate the Central Median of Trapezoid, Central Median of Trapezoid given Area 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 the area of the Trapezoid. Central Median of Trapezoid is denoted by M symbol.

How to calculate Central Median of Trapezoid given Area using this online calculator? To use this online calculator for Central Median of Trapezoid given Area, enter Area of Trapezoid (A) & Height of Trapezoid (h) and hit the calculate button. Here is how the Central Median of Trapezoid given Area calculation can be explained with given input values -> 10.625 = 85/8.

FAQ

What is Central Median of Trapezoid given Area?

Central Median of Trapezoid given Area 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 the area of the Trapezoid and is represented as M = A/h or Central Median of Trapezoid = Area of Trapezoid/Height of Trapezoid. Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid & Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.

How to calculate Central Median of Trapezoid given Area?

Central Median of Trapezoid given Area 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 the area of the Trapezoid is calculated using Central Median of Trapezoid = Area of Trapezoid/Height of Trapezoid. To calculate Central Median of Trapezoid given Area, you need Area of Trapezoid (A) & Height of Trapezoid (h). With our tool, you need to enter the respective value for Area of Trapezoid & Height of Trapezoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Central Median of Trapezoid?

In this formula, Central Median of Trapezoid uses Area of Trapezoid & Height of Trapezoid. We can use 5 other way(s) to calculate the same, which is/are as follows -

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

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