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CDS 2022 · PYQ · Geometry · medium

The perpendicular dropped from a vertex of a right-angled triangle upon the hypotenuse divides it into two segments of lengths 9 units and 16 units respectively. What is the length of the perpendicular?

  1. A.10 units
  2. B.6 units
  3. C.12 units✓ Correct
  4. D.8 units

Explanation

By geometric mean relation, perpendicular = √(9×16) = √144 = 12 units.
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