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find the lengths of the medians of a triangle whose mid points of vertices are (3,5),(5,3)and(7,7) { simple method}

find the lengths of the medians of a triangle whose mid points of vertices are  (3,5),(5,3)and(7,7)  { simple method}

Grade:11

2 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
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mycroft holmes
272 Points
6 years ago
\triangle DEF is similar to \triangle ABC and is contracted by a factor of ½ (by BPT). So it suffices to find the medians of \triangle DEF and double them. This way AD = 6 = BE and CF = 2 \sqrt 3 are readily obtained

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