In ΔABC, AB = 7 cm, BC = 24 cm and AC = 25 cm. If G is the centroid of the triangle, then what is the length (in cm) of BG?
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 25/3
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Concept |
Understanding |
Application |
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Centroid always divides the median in the ratio of 2 : 1. |
AB = 7 cm, BC = 24 cm and AC = 25 cm. It is Pythagoras triplet Hence, it is a right-angle triangle. Let G is the centroid of the given triangle and BM is the median.
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BM = AM = MC = 25/2 Centroid always divides the median in the ratio of 2 : 1. Then, BG = 2/3 × BM = 2/3 × 25/2 = 25/3 |
