Long Base of Trapezoid given Central Median Calculator

✖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 [M]			+10% -10%
✖Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.ⓘ Short Base of Trapezoid [B_Short]			+10% -10%

✖Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.ⓘ Long Base of Trapezoid given Central Median [B_Long]

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Formula

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Long Base of Trapezoid given Central Median

Formula

`"B"_{"Long"} = (2*"M")-"B"_{"Short"}`

Example

`"15m"=(2*"10m")-"5m"`

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Long Base of Trapezoid given Central Median Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Base of Trapezoid = (2*Central Median of Trapezoid)-Short Base of Trapezoid
B_Long = (2*M)-B_Short
This formula uses 3 Variables

Variables Used

Long Base of Trapezoid - (Measured in Meter) - Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.
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.
Short Base of Trapezoid - (Measured in Meter) - Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Central Median of Trapezoid: 10 Meter --> 10 Meter No Conversion Required
Short Base of Trapezoid: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_Long = (2*M)-B_Short --> (2*10)-5

Evaluating ... ...

B_Long = 15

STEP 3: Convert Result to Output's Unit

15 Meter --> No Conversion Required

FINAL ANSWER

15 Meter <-- Long Base of Trapezoid

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Vellore Institute of Technology (VIT), Bhopal

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< 6 Long Base of Trapezoid Calculators

Long Base of Trapezoid given Short Leg

Go Long Base of Trapezoid = Short Base of Trapezoid+(Short Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid)))

Long Base of Trapezoid given Long Leg

Go Long Base of Trapezoid = Short Base of Trapezoid+(Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid)))

Long Base of Trapezoid given Height and Both Diagonals

Go 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

Long Base of Trapezoid given Height

Go Long Base of Trapezoid = Short Base of Trapezoid+(Height of Trapezoid*(cot(Larger Acute Angle of Trapezoid)+cot(Smaller Acute Angle of Trapezoid)))

Long Base of Trapezoid

Go Long Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid

Long Base of Trapezoid given Central Median

Go Long Base of Trapezoid = (2*Central Median of Trapezoid)-Short Base of Trapezoid

Long Base of Trapezoid given Central Median Formula

Long Base of Trapezoid = (2*Central Median of Trapezoid)-Short Base of Trapezoid
B_Long = (2*M)-B_Short

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 Long Base of Trapezoid given Central Median?

Long Base of Trapezoid given Central Median calculator uses Long Base of Trapezoid = (2*Central Median of Trapezoid)-Short Base of Trapezoid to calculate the Long Base of Trapezoid, Long Base of Trapezoid given Central Median formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the central median of the Trapezoid. Long Base of Trapezoid is denoted by B_Long symbol.

How to calculate Long Base of Trapezoid given Central Median using this online calculator? To use this online calculator for Long Base of Trapezoid given Central Median, enter Central Median of Trapezoid (M) & Short Base of Trapezoid (B_Short) and hit the calculate button. Here is how the Long Base of Trapezoid given Central Median calculation can be explained with given input values -> 15 = (2*10)-5.

FAQ

What is Long Base of Trapezoid given Central Median?

Long Base of Trapezoid given Central Median formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the central median of the Trapezoid and is represented as B_Long = (2*M)-B_Short or Long Base of Trapezoid = (2*Central Median of Trapezoid)-Short Base 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 & Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.

How to calculate Long Base of Trapezoid given Central Median?

Long Base of Trapezoid given Central Median formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the central median of the Trapezoid is calculated using Long Base of Trapezoid = (2*Central Median of Trapezoid)-Short Base of Trapezoid. To calculate Long Base of Trapezoid given Central Median, you need Central Median of Trapezoid (M) & Short Base of Trapezoid (B_Short). With our tool, you need to enter the respective value for Central Median of Trapezoid & Short Base 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 Long Base of Trapezoid?

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

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

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