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Triangle Midsegment Calculator — result sheet
Find the segment joining the midpoints of two triangle sides and verify its parallel-side and scale relationships.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Triangle midsegment = parallel side / 2; the smaller similar triangle has a linear scale factor of 1/2 and an area factor of 1/4.
Joining the midpoints of two sides creates a segment parallel to the third side and half its length. The two triangles are similar, so lengths scale by one-half and areas scale by one-quarter; the second side is shown to make the proportional relationship concrete.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Parallel triangle side — units; minimum 1.0E-6; maximum 1000000000
- Second triangle side — units; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Parallel triangle side | 10 |
| Second triangle side | 6 |
midsegment 5 units; linear factor 0.5
Assumptions and limits
- The entered parallel side is a positive Euclidean triangle side length.
- The midpoints are exact geometric midpoints, not arbitrary points on the sides.
- The area ratio refers to the smaller corner triangle compared with the original triangle.
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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