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Trapezoid Height — result sheet
Find the perpendicular height implied by two parallel bases and a positive trapezoid area.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: From A=(b1+b2)h/2, solve h=2A/(b1+b2); only the parallel bases and area are used.
The trapezoid area equals one-half the sum of the parallel bases times the perpendicular height. Rearranging that relation gives the height without requiring leg lengths or angles.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Parallel base 1 b1 — length units; The length of the first pair of parallel sides.; minimum 1.0E-6; maximum 1000000
- Parallel base 2 b2 — length units; The length of the second pair of parallel sides.; minimum 1.0E-6; maximum 1000000
- Trapezoid area A — square length units; The positive area of the trapezoid.; minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Parallel base 1 b1 | 8 |
| Parallel base 2 b2 | 5 |
| Trapezoid area A | 39 |
h=2(39)/(8+5)=78/13=6 length units.
Assumptions and limits
- The two entered positive lengths are the parallel bases of one trapezoid and the entered positive area is in compatible square units.
- Height means perpendicular distance between the parallel base lines, not a slanted leg or an arbitrary vertex distance.
- No leg geometry, convexity, offset, orientation, or uniqueness beyond the inverse area relation is inferred.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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