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Trapezoid Midsegment from Parallel Bases

Calculate trapezoid midsegment from parallel bases with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

Worked inputs a = 5, b = 9 give Midsegment = 7. Values use the initial displayed units.

m = (a+b)/2

Worked example

Enter these known values and leave the other values blank.

First parallel base (a)
5 cm
Second parallel base (b)
9 cm
Midsegment
7 cm

Assumptions and limitations

  • The midsegment joins the midpoints of the nonparallel sides. Only the two parallel base lengths belong in this average.
  • Lengths and areas are converted before calculation. Clear an unknown measurement instead of supplying conflicting dimensions.
  • Arithmetic uses 64 significant digits and full-precision π. Display rounding and measurement uncertainty are separate from the underlying arithmetic.

Common questions

Which measurements and inverse branch does this model use?

The midsegment joins the midpoints of the nonparallel sides. Only the two parallel base lengths belong in this average.

Which sides are averaged to find the trapezoid midsegment?

Average the two parallel bases. The other two sides do not belong in the midsegment formula.

References

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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