Short 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%
✖Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.ⓘ Long Base of Trapezoid [B_Long]			+10% -10%

✖Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.ⓘ Short Base of Trapezoid given Central Median [B_Short]

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Short Base of Trapezoid given Central Median Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Short Base of Trapezoid - (Measured in Meter) - Short Base of Trapezoid is the shorter 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.
Long Base of Trapezoid - (Measured in Meter) - Long Base of Trapezoid is the longer 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
Long Base of Trapezoid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_Short = (2*M)-B_Long --> (2*10)-15

Evaluating ... ...

B_Short = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Short Base of Trapezoid

(Calculation completed in 00.004 seconds)

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< Short Base of Trapezoid Calculators

Short Base of Trapezoid given Short Leg

LaTeX Go 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)))

Short Base of Trapezoid given Height

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

Short Base of Trapezoid

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

Short Base of Trapezoid given Central Median

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

Short Base of Trapezoid given Central Median Formula

LaTeX Go

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

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 Short Base of Trapezoid given Central Median?

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

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

FAQ

What is Short Base of Trapezoid given Central Median?

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

How to calculate Short Base of Trapezoid given Central Median?

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

In this formula, Short Base of Trapezoid uses Central Median of Trapezoid & Long Base of Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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