Question
In triangle ABC, the lengths of its sides are given as
AB = 8 cm, AC = 10 cm, and BC = 12 cm. Determine the length of the median drawn from vertex 'A' to the side BC.ÂSolution
If ABC is a triangle such that AB = 'c', BC = 'a' and AC = 'b', then length of median from 'A': = â[(2b2 + 2c2 - a2) á 4]
Here, AB = 8 cm, AC = 10 cm and BC = 12 cm Therefore, required length of median = â[(2 X 102 + 2 X 82 - 122) á 4] = â[(200 + 128 - 144) á 4] = â(184/4) = â46 cm Â
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