Long Base of Trapezoid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid
BLong = (2*A)/h-BShort
This formula uses 4 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.
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.
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
Area of Trapezoid: 85 Square Meter --> 85 Square Meter No Conversion Required
Height of Trapezoid: 8 Meter --> 8 Meter No Conversion Required
Short Base of Trapezoid: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
BLong = (2*A)/h-BShort --> (2*85)/8-5
Evaluating ... ...
BLong = 16.25
STEP 3: Convert Result to Output's Unit
16.25 Meter --> No Conversion Required
FINAL ANSWER
16.25 Meter <-- Long 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 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

12 Sides 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)))
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)))
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)))
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 Leg of Trapezoid given Short Leg
Go Long Leg of Trapezoid = Short Leg of Trapezoid*(sin(Larger Acute Angle of Trapezoid))/(sin(Smaller Acute Angle of Trapezoid))
Short Leg of Trapezoid given Long Leg
Go Short Leg of Trapezoid = Long Leg of Trapezoid*(sin(Smaller Acute Angle of Trapezoid))/(sin(Larger Acute Angle of Trapezoid))
Short Leg of Trapezoid
Go Short Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Long Leg of Trapezoid)
Long Leg of Trapezoid
Go Long Leg of Trapezoid = Perimeter of Trapezoid-(Long Base of Trapezoid+Short Base of Trapezoid+Short Leg of Trapezoid)
Short Base of Trapezoid
Go Short Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Long Base of Trapezoid
Long Base of Trapezoid
Go Long Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid
Short Leg of Trapezoid given Height
Go Short Leg of Trapezoid = Height of Trapezoid/(sin(Larger Acute Angle of Trapezoid))
Long Leg of Trapezoid given Height
Go Long Leg of Trapezoid = Height of Trapezoid/(sin(Smaller Acute Angle of Trapezoid))

Long Base of Trapezoid Formula

Long Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid
BLong = (2*A)/h-BShort

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?

Long Base of Trapezoid calculator uses Long Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid to calculate the Long Base of Trapezoid, Long Base of Trapezoid formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the area, height and short base of the Trapezoid. Long Base of Trapezoid is denoted by BLong symbol.

How to calculate Long Base of Trapezoid using this online calculator? To use this online calculator for Long Base of Trapezoid, enter Area of Trapezoid (A), Height of Trapezoid (h) & Short Base of Trapezoid (BShort) and hit the calculate button. Here is how the Long Base of Trapezoid calculation can be explained with given input values -> 16.25 = (2*85)/8-5.

FAQ

What is Long Base of Trapezoid?
Long Base of Trapezoid formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the area, height and short base of the Trapezoid and is represented as BLong = (2*A)/h-BShort or Long Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Short Base 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 & Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.
How to calculate Long Base of Trapezoid?
Long Base of Trapezoid formula is defined as the longer side among the pair of parallel sides of the Trapezoid, and calculated using the area, height and short base of the Trapezoid is calculated using Long Base of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid-Short Base of Trapezoid. To calculate Long Base of Trapezoid, you need Area of Trapezoid (A), Height of Trapezoid (h) & Short Base of Trapezoid (BShort). With our tool, you need to enter the respective value for Area of Trapezoid, Height 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 Area of Trapezoid, Height of Trapezoid & Short Base of Trapezoid. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Long Base of Trapezoid = (2*Central Median 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
  • 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)))
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