CAT 2017 Geometry & Mensuration Question (Hard)

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

Accepted Answer

Step 1 Given triangle ABC with sides - AB 40 ft - BC 25 ft - CA 35 ft Use Heron s Formula to find total area of triangle ABC. Semi-perimeter s 2 2 50 Area of triangle ABC 50 50 times 5 250 --- Step 2 Area of triangle GBC The centroid G divides triangle ABC into 3 smaller triangles of equal area. So,

CAT 2017

Quantitative

Geometry & Mensuration

Hard

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:

Crack Your CAT Interviews with Confidence!

Practice

Features

Support