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Ex 6.3, 16 - If AD and PM are medians of triangles ABC, PQR - Given similar, find angles or sides

Ex 6.3, 16 - Chapter 6 Class 10 Triangles - Part 2
Ex 6.3, 16 - Chapter 6 Class 10 Triangles - Part 3

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Ex 6.3, 16 If AD and PM are medians of triangles ABC and PQR, respectively where ABC PQR, prove that / = / Given: ABC and PQR AD is the median of ABC ,PM is the median of PQR & ABC PQR. To Prove:- / = / Proof: Since AD is the median BD = CD = 1/2 BC Similarly, PM is the median QM = RM = 1/2 QR Now, ABC PQR. / = / = / So, / = / / =2 /2 / = / Also, since ABC PQR. B = Q Now, In ABD & PQM = / = / Hence by SAS similarly ABD PQM Since corresponding sides of similar triangles are proportional / = / Hence proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.