Multiple choice

If G is the centroid of ΔABC and area of ΔABC = 48 sq. cm, then the area of ΔBGC is :( in sq. cm)

  1. 8

  2. 16

  3. 24

  4. 32
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A centroid divides a triangle into 3 smaller triangles of equal area because each has the same base (side of original triangle) and height (distance from centroid to that side is 1/3 of the median height). If ΔABC = 48 sq cm, then each of ΔBGC, ΔCGA, and ΔAGB = 48/3 = 16 sq cm.

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