G is the centroid of the triangle ABC, where AB, BC and CA are 7 cm, 24 cm and 25 cm respectively, then BG is:
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 
cm
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Concept |
Understanding |
Application |
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Median is always half of hypotenuse in right angle triangle. Centroid divides the median in the ratio of 2 : 1 |
AB, BC and CA are 7 cm, 24 cm and 25 cm. They form Pythagoras triplets as 252 = 242 + 72 Hence, triangle ABC is a right-angle triangle, right angled at B.
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Hence, median BM will be half of hypotenuse CA. BM = 25/2 = 12.5 Centroid G will divide the median BM in the ratio 2 : 1 Hence, BG = 2/3 × 12.5
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