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:
Explanation:
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).
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