Short Base of Isosceles Trapezoid given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Long Base of Isosceles Trapezoid
BShort = (2*A)/h-BLong
This formula uses 4 Variables
Variables Used
Short Base of Isosceles Trapezoid - (Measured in Meter) - Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.
Area of Isosceles Trapezoid - (Measured in Square Meter) - Area of Isosceles Trapezoid is the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid.
Height of Isosceles Trapezoid - (Measured in Meter) - Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.
Long Base of Isosceles Trapezoid - (Measured in Meter) - Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.
STEP 1: Convert Input(s) to Base Unit
Area of Isosceles Trapezoid: 50 Square Meter --> 50 Square Meter No Conversion Required
Height of Isosceles Trapezoid: 4 Meter --> 4 Meter No Conversion Required
Long Base of Isosceles Trapezoid: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
BShort = (2*A)/h-BLong --> (2*50)/4-15
Evaluating ... ...
BShort = 10
STEP 3: Convert Result to Output's Unit
10 Meter --> No Conversion Required
FINAL ANSWER
10 Meter <-- Short Base of Isosceles Trapezoid
(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru
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6 Short Base of Isosceles Trapezoid Calculators

Short Base of Isosceles Trapezoid given Lateral Edge
Go Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid))
Short Base of Isosceles Trapezoid given Height
Go Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))
Short Base of Isosceles Trapezoid given Perimeter
Go Short Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))
Short Base of Isosceles Trapezoid given Diagonal
Go Short Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Long Base of Isosceles Trapezoid
Short Base of Isosceles Trapezoid given Area
Go Short Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Long Base of Isosceles Trapezoid
Short Base of Isosceles Trapezoid given Central Median
Go Short Base of Isosceles Trapezoid = (2*Central Median of Isosceles Trapezoid)-Long Base of Isosceles Trapezoid

13 Edges of Isosceles Trapezoid Calculators

Lateral Edge of Isosceles Trapezoid given Long and Short Base
Go Lateral Edge of Isosceles Trapezoid = (Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/(2*cos(Acute Angle of Isosceles Trapezoid))
Short Base of Isosceles Trapezoid given Lateral Edge
Go Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid))
Long Base of Isosceles Trapezoid given Lateral Edge
Go Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid))
Lateral Edge of Isosceles Trapezoid given Diagonal
Go Lateral Edge of Isosceles Trapezoid = sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid))
Short Base of Isosceles Trapezoid given Height
Go Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))
Long Base of Isosceles Trapezoid given Height
Go Long Base of Isosceles Trapezoid = Short Base of Isosceles Trapezoid+(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))
Short Base of Isosceles Trapezoid given Perimeter
Go Short Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))
Long Base of Isosceles Trapezoid given Perimeter
Go Long Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Short Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))
Short Base of Isosceles Trapezoid given Diagonal
Go Short Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Long Base of Isosceles Trapezoid
Long Base of Isosceles Trapezoid given Diagonal
Go Long Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Short Base of Isosceles Trapezoid
Short Base of Isosceles Trapezoid given Area
Go Short Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Long Base of Isosceles Trapezoid
Long Base of Isosceles Trapezoid given Area
Go Long Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Short Base of Isosceles Trapezoid
Lateral Edge of Isosceles Trapezoid given Height and Acute Angle
Go Lateral Edge of Isosceles Trapezoid = Height of Isosceles Trapezoid/(sin(Acute Angle of Isosceles Trapezoid))

Short Base of Isosceles Trapezoid given Area Formula

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

What is an Isosceles Trapezoid?

A Trapezoid is a quadrilateral with one pair of parallel edges. An Isosceles Trapezoid means a trapezoid with the pair of non parallel edges are equal. The parallel pair of edges are called bases and the pair of non parallel equal edges are called lateral edges. The angles on the long base are equal acute angles and the angles on the short base are equal obtuse angles. Also, the pair of opposite angles are supplementary to each other. And hence an Isosceles Trapezoid is cyclic.

How to Calculate Short Base of Isosceles Trapezoid given Area?

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

How to calculate Short Base of Isosceles Trapezoid given Area using this online calculator? To use this online calculator for Short Base of Isosceles Trapezoid given Area, enter Area of Isosceles Trapezoid (A), Height of Isosceles Trapezoid (h) & Long Base of Isosceles Trapezoid (BLong) and hit the calculate button. Here is how the Short Base of Isosceles Trapezoid given Area calculation can be explained with given input values -> 10 = (2*50)/4-15.

FAQ

What is Short Base of Isosceles Trapezoid given Area?
Short Base of Isosceles Trapezoid given Area formula is defined as the shorter side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using the area of the Isosceles Trapezoid and is represented as BShort = (2*A)/h-BLong or Short Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Long Base of Isosceles Trapezoid. Area of Isosceles Trapezoid is the total quantity of plane enclosed by the boundary of the Isosceles Trapezoid, Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid & Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.
How to calculate Short Base of Isosceles Trapezoid given Area?
Short Base of Isosceles Trapezoid given Area formula is defined as the shorter side among the pair of parallel sides of the Isosceles Trapezoid, and calculated using the area of the Isosceles Trapezoid is calculated using Short Base of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/Height of Isosceles Trapezoid-Long Base of Isosceles Trapezoid. To calculate Short Base of Isosceles Trapezoid given Area, you need Area of Isosceles Trapezoid (A), Height of Isosceles Trapezoid (h) & Long Base of Isosceles Trapezoid (BLong). With our tool, you need to enter the respective value for Area of Isosceles Trapezoid, Height of Isosceles Trapezoid & Long Base of Isosceles 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 Isosceles Trapezoid?
In this formula, Short Base of Isosceles Trapezoid uses Area of Isosceles Trapezoid, Height of Isosceles Trapezoid & Long Base of Isosceles Trapezoid. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Short Base of Isosceles Trapezoid = (2*Central Median of Isosceles Trapezoid)-Long Base of Isosceles Trapezoid
  • Short Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Long Base of Isosceles Trapezoid
  • Short Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))
  • Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))
  • Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid))
  • Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Height of Isosceles Trapezoid*cot(Acute Angle of Isosceles Trapezoid))
  • Short Base of Isosceles Trapezoid = Perimeter of Isosceles Trapezoid-(Long Base of Isosceles Trapezoid+(2*Lateral Edge of Isosceles Trapezoid))
  • Short Base of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2-Lateral Edge of Isosceles Trapezoid^2)/Long Base of Isosceles Trapezoid
  • Short Base of Isosceles Trapezoid = Long Base of Isosceles Trapezoid-(2*Lateral Edge of Isosceles Trapezoid*cos(Acute Angle of Isosceles Trapezoid))
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