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Two villages are at points A and B, and a temple is at point C, forming triangle ABC. A new resting shed is built at the mid-point of AC and another at the mid-point of BC. A straight footpath joins the two sheds.
If the distance AB between the two villages is 1.6 km, how long (in km) is the footpath between the sheds?

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A1.6
  • B1.3
  • C0.8
  • D0.3

Step-by-Step Solution

The sheds are mid-points of CA and CB, so the joining path = AB = (1.6) = 0.8 km.
Answer: C) 0.8

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