Height of Right Trapezoid given Area and both Bases Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Right Trapezoid = (2*Area of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)
h = (2*A)/(BLong+BShort)
This formula uses 4 Variables
Variables Used
Height of Right Trapezoid - (Measured in Meter) - Height of Right Trapezoid is the perpendicular distance between the long base and short base of the Right Trapezoid.
Area of Right Trapezoid - (Measured in Square Meter) - Area of Right Trapezoid is the amount of region or 2-dimensional space occupied by the Right Trapezoid.
Long Base of Right Trapezoid - (Measured in Meter) - Long Base of Right Trapezoid is the longer side among the pair of parallel edges.
Short Base of Right Trapezoid - (Measured in Meter) - The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.
STEP 1: Convert Input(s) to Base Unit
Area of Right Trapezoid: 175 Square Meter --> 175 Square Meter No Conversion Required
Long Base of Right Trapezoid: 20 Meter --> 20 Meter No Conversion Required
Short Base of Right Trapezoid: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (2*A)/(BLong+BShort) --> (2*175)/(20+15)
Evaluating ... ...
h = 10
STEP 3: Convert Result to Output's Unit
10 Meter --> No Conversion Required
FINAL ANSWER
10 Meter <-- Height of Right Trapezoid
(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru
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6 Height of Right Trapezoid Calculators

Height of Right Trapezoid given both Diagonals, both Bases, and Angle between Diagonals
Go Height of Right Trapezoid = (Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Angle between Diagonals of Right Trapezoid)
Height of Right Trapezoid
Go Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2)
Height of Right Trapezoid given both Bases and Acute Angle
Go Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)
Height of Right Trapezoid given Area and both Bases
Go Height of Right Trapezoid = (2*Area of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)
Height of Right Trapezoid given Acute Angle and Slant Side
Go Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid)
Height of Right Trapezoid given Area and Central Median
Go Height of Right Trapezoid = Area of Right Trapezoid/Central Median of Right Trapezoid

Height of Right Trapezoid given Area and both Bases Formula

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

What is a Right Trapezoid?

A Right Trapezoid is a flat figure with four sides, such that two of them are parallel to each other, called bases and also one of the other sides is perpendicular to the bases, In other words, it means that such a trapezoid must contain two right angles, one acute angle and one obtuse angle. It is used while evaluating the area under the curve, under that trapezoidal rule

How to Calculate Height of Right Trapezoid given Area and both Bases?

Height of Right Trapezoid given Area and both Bases calculator uses Height of Right Trapezoid = (2*Area of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid) to calculate the Height of Right Trapezoid, The Height of Right Trapezoid given Area and both Bases formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using both the bases and area. Height of Right Trapezoid is denoted by h symbol.

How to calculate Height of Right Trapezoid given Area and both Bases using this online calculator? To use this online calculator for Height of Right Trapezoid given Area and both Bases, enter Area of Right Trapezoid (A), Long Base of Right Trapezoid (BLong) & Short Base of Right Trapezoid (BShort) and hit the calculate button. Here is how the Height of Right Trapezoid given Area and both Bases calculation can be explained with given input values -> 10 = (2*175)/(20+15).

FAQ

What is Height of Right Trapezoid given Area and both Bases?
The Height of Right Trapezoid given Area and both Bases formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using both the bases and area and is represented as h = (2*A)/(BLong+BShort) or Height of Right Trapezoid = (2*Area of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid). Area of Right Trapezoid is the amount of region or 2-dimensional space occupied by the Right Trapezoid, Long Base of Right Trapezoid is the longer side among the pair of parallel edges & The Short Base of Right Trapezoid is the shorter side among the pair of parallel edges of the Right Trapezoid.
How to calculate Height of Right Trapezoid given Area and both Bases?
The Height of Right Trapezoid given Area and both Bases formula is defined as the perpendicular distance between the long base and short base of the Right Trapezoid, calculated using both the bases and area is calculated using Height of Right Trapezoid = (2*Area of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid). To calculate Height of Right Trapezoid given Area and both Bases, you need Area of Right Trapezoid (A), Long Base of Right Trapezoid (BLong) & Short Base of Right Trapezoid (BShort). With our tool, you need to enter the respective value for Area of Right Trapezoid, Long Base of Right Trapezoid & Short Base of Right 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 Height of Right Trapezoid?
In this formula, Height of Right Trapezoid uses Area of Right Trapezoid, Long Base of Right Trapezoid & Short Base of Right Trapezoid. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Height of Right Trapezoid = sqrt(Slant Side of Right Trapezoid^2-(Long Base of Right Trapezoid-Short Base of Right Trapezoid)^2)
  • Height of Right Trapezoid = (Long Base of Right Trapezoid-Short Base of Right Trapezoid)*tan(Acute Angle of Right Trapezoid)
  • Height of Right Trapezoid = Slant Side of Right Trapezoid*sin(Acute Angle of Right Trapezoid)
  • Height of Right Trapezoid = (Long Diagonal of Right Trapezoid*Short Diagonal of Right Trapezoid)/(Long Base of Right Trapezoid+Short Base of Right Trapezoid)*sin(Angle between Diagonals of Right Trapezoid)
  • Height of Right Trapezoid = Area of Right Trapezoid/Central Median of Right Trapezoid
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