Segment Addition Postulate Calculator

Your details

Choose which segment length you want to find.
Length of segment AB. Enter a number or an algebraic expression like "3x+2".
Length of segment BC. Enter a number or an algebraic expression like "x-1".
Choose the unit for all segment lengths.
Solved length
16cm

The unknown segment length calculated from the postulate.

AB6cm
BC10cm
AC16cm
AB : BC ratio0.6
AB6
BC10
AC (total)16

AC = 16 cm

  • Point B lies between A and C, dividing the segment into AB = 6 cm and BC = 10 cm.
  • BC is the longer sub-segment, making up 62.5% of the total length AC.
  • The segment addition postulate guarantees this relationship holds only when B lies strictly between A and C on the same straight line.

Next stepVerify your result: 6 + 10 = 16 cm.

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