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CAT 2017 Slot 1 — QA Question 16

Geometric CentersEasy

From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is:

Answer & solution

  • A

    225√3

  • 500/√3

  • C

    275√3

  • D

    250√3

Solution

The medians of a triangle divide the triangle into six parts of equal area.

Area of the triangle) = s(s-a)(s-b)(s-c) = 2503

Area of GBC = 13(Area of the triangle)

∴ Area of the remaining portion = 2/3 × 250√3 = 500√3/3 = 500/√3

Hence, option (b).

CAT 2017 Slot 1 QA Q16: From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G — Solution | TheCATExam