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

  1. Chapter 6 Class 10 Triangles
  2. Serial order wise
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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.