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CDS 2022 · PYQ · Mensuration · medium

What is the radius of the circle inscribed in a triangle whose sides are 4 cm, 7.5 cm and 8.5 cm?

  1. A.2.5 cm
  2. B.3 cm
  3. C.1.5 cm✓ Correct
  4. D.2 cm

Explanation

4²+7.5²=16+56.25=72.25=8.5², right triangle. Area=15, s=10. r=Area/s=15/10=1.5 cm.
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