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Take parallelogram ABCD with AB = 12 cm, where the bisector of angle A meets BC at E.
Using the result that triangle ABE is isosceles (BE = AB), and BC = 16 cm, find EC (in cm).

Class 9Properties of a ParallelogramGeometry — Quadrilaterals
  • A8
  • B3
  • C4
  • D5

Step-by-Step Solution

The angle bisector from A makes triangle ABE isosceles with BE = AB = 12 cm. So EC = BC - BE = 16 - 12 = 4 cm.
Answer: C) 4

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