CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.3 Question 12
12. Sides AB, BC and median AD of a triangle ABC are respectively proportional to sides PQ, QR and median PM of
. Show that
~
.
Solution:
{Given}
{AD and PM are medians}
~
{By SSS similarity criterion}
Therefore,
{Corresponding angles of similar triangles are equal} (1)
It is also given that
(2)
Therefore, by SAS similarity criterion,
~
Hence Proved
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