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CDS 2025 · PYQ · Right Triangle / Altitude to Hypotenuse · easy

In a triangle ABC, angle A is right angle. AB = 8 cm, BC = 10 cm. D is a point on BC such that AD is perpendicular to BC. What is AD equal to?

  1. A.4·8 cm✓ Correct
  2. B.5·0 cm
  3. C.5·2 cm
  4. D.5·4 cm

Explanation

Triangle right-angled at A with AB = 8, BC = 10 (hypotenuse). So AC = √(100 - 64) = 6. Area = (1/2)(AB)(AC) = (1/2)(8)(6) = 24. Also area = (1/2)(BC)(AD) = (1/2)(10)(AD). So AD = 48/10 = 4.8 cm.
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