CAT Quant Practice Problems

Question: In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?
  1. 5
  2. 85
  3. 45
  4. 25
  5. 25

Correct Option:5

Let x be the value of third side of the triangle. Now we know that Area = 17.5×9×x/(4×R), where R is circumradius.

Also Area = 0.5×x×3 .

Equating both, we have 3 = 17.5×9 / (2×R)

=> R = 26.25.


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