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A triangular sail has its base 3 m long. Two reinforcement strips are sewn: the first joins the mid-points of the two slant sides, and the second joins the mid-points of the upper halves of those slant sides (a midsegment of the smaller upper triangle).
What is the length of the second (upper) strip?

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A1.5 m
  • B0.75 m
  • C1 m
  • D0.5 m

Step-by-Step Solution

First strip = (3) = 1.5 m. The upper triangle's base is this 1.5 m strip, so the second strip = (1.5) = 0.75 m.
Answer: B) 0.75 m

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