SOLUTION: Find the lengths of the medians of the triangle whose vertices are A = (0.0), B =(6,0), and C = (4,4).

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Question 1209027: Find the lengths of the medians of the triangle whose vertices are A = (0.0), B =(6,0), and C = (4,4).
Answer by ikleyn(52776) About Me  (Show Source):
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Find the lengths of the medians of the triangle whose vertices are A = (0,0), B =(6,0), and C = (4,4).
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The median from A = (0,0) has the opposite end at D = (5,2).

Its length is  AD = sqrt%28%285-0%29%5E2+%2B+%282-0%29%5E2%29 = sqrt%2829%29.



The median from B = (6,0) has the opposite end at E = (2,2).

Its length is  BE = sqrt%28%282-6%29%5E2+%2B+%282-0%29%5E2%29 = sqrt%284%5E2%2B2%5E2%29 = sqrt%2820%29 = 2%2Asqrt%285%29.



The median from C = (4,4) has the opposite end at F = (3,0).

Its length is  CF = sqrt%28%284-3%29%5E2%2B%284-0%29%5E2%29 = sqrt%281+%2B+16%29 = sqrt%2817%29.

Solved in full.