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Midsegment of a Trapezoid Calculator

Find segment joining the midpoints of nonparallel sides. Example: Parallel base a: 2 m, Parallel base b: 2 m gives 2 m. a,b are lengths of parallel bases. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.

YOUR INPUTS Live calculation

a,b are lengths of parallel bases. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Trapezoid midpoint theorem: midsegment is arithmetic mean of bases.

Accepted inputs: Parallel base a: 0.001 to 1,000 m; Parallel base b: 0.001 to 1,000 m.

Example values. Enter your own inputs.

segment joining the midpoints of nonparallel sides

2m

How the calculation works

midsegment = (a+b)/2

Worked example

With parallel base a 2 m, parallel base b 2 m, segment joining the midpoints of nonparallel sides is 2 m.

Assumptions and limits

a,b are lengths of parallel bases. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Trapezoid midpoint theorem: midsegment is arithmetic mean of bases.

segment joining the midpoints of nonparallel sides2 m
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