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Trapezoid Midsegment Calculator — result sheet
Find the segment joining the midpoints of a trapezoid’s legs, along with its base average and area.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: midsegment = (a+b)/2; area = midsegment × h.
The trapezoid midsegment is parallel to both bases and has length equal to their arithmetic mean. Multiplying that mean by the perpendicular height reproduces the area formula.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Base a — units; minimum 1.0E-6; maximum 1000000000
- Base b — units; minimum 1.0E-6; maximum 1000000000
- Perpendicular height — units; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Base a | 10 |
| Base b | 6 |
| Perpendicular height | 4 |
Midsegment: 8 units; base average: 8 units; area: 32 square units.
Assumptions and limits
- The two bases are parallel and the entered height is perpendicular to both.
- The requested segment joins the midpoints of the two nonparallel legs.
- All lengths use one unit and the area uses squared units; leg lengths are not needed for this theorem.
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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