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Let M be the mid-point of AB in triangle ABC, and let a line MN parallel to BC meet AC at N. It is given AN = 5 cm.
Farhan claims AC = 10 cm. Find AC and check his claim.

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • AAC = 10 cm, claim correct
  • BAC = 5 cm, claim wrong
  • CAC = 15 cm, claim wrong
  • DAC = 2.5 cm, claim wrong

Step-by-Step Solution

By the converse, N is the mid-point of AC, so AC = 2 AN = cm. Farhan is correct.
Answer: A) AC = 10 cm, claim correct

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