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A triangular plot ABC has sides AB = 30 m, BC = 24 m and CA = 18 m. A surveyor joins the mid-points of all three sides to mark an inner triangular flower bed.
What is the perimeter of the inner flower bed?

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A72
  • B32
  • C36
  • D40

Step-by-Step Solution

Each midsegment is half its parallel side, so the inner triangle's perimeter is half of (30+24+18) = half of 72 = 36 m.
Answer: C) 36

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