Quantitative Aptitude – Geometry – Triangles – From a triangle ABC with sides

Quantitative Aptitude – Geometry – Triangles

Question

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

A) 225âˆš3
B) 500 / âˆš3
C) 275 / âˆš3
D) 250 / âˆš3

Answer

Option (B)

Solution

As per the question from CAT 2017 – Quantitative Aptitude – Geometry – Triangles,
Area of triangle = root (s(s-a)(s-b)(s-c))
S = 50
Area = 250 * root(3)
Centroid divides triangle in the ratio 2:1
Area of remaining portion of triangle: 2/3 * (Area of Triangle) = 500/root(3)
Option (B)

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