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In a right triangle ABC, right-angled at B, M is the mid-point of the hypotenuse AC. A line MD is drawn parallel to BC meeting AB at D.
If AB = 12 cm, what is AD?

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A12
  • B6
  • C7
  • D5

Step-by-Step Solution

M is the mid-point of AC and MD is parallel to BC, so by the converse D is the mid-point of AB; AD = (12) = 6 cm.
Answer: B) 6

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