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
BShort = (2*M)-BLong
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
BShort = (2*M)-BLong --> (2*10)-15
Evaluating ... ...
BShort = 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)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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6 Short Base of Trapezoid Calculators

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

Short Base of Trapezoid given Central Median Formula

Short Base of Trapezoid = (2*Central Median of Trapezoid)-Long Base of Trapezoid
BShort = (2*M)-BLong

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 BShort 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 (BLong) 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 BShort = (2*M)-BLong 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 (BLong). 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 5 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)))
  • Short Base of Trapezoid = Long Base of Trapezoid-(Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid+Larger Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid)))
  • Short Base of Trapezoid = ((Long Diagonal of Trapezoid*Short Diagonal of Trapezoid)/Height of Trapezoid*sin(Leg Angle between Diagonals of Trapezoid))-Long Base of Trapezoid
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