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If the midsegment of a triangle is 9 cm, the area ratio of the small medial triangle to the original triangle is:

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A1 : 2
  • B1 : 3
  • C1 : 4
  • D1 : 8

Step-by-Step Solution

The medial triangle is similar to the original with ratio 1:2, so areas are in ratio 1:4.
Answer: C) 1 : 4

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