CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.3 Question 16
16. If, AD and PM are medians of triangles ABC and PQR respectively where
~
, prove that
Solution:
Given: AD and PM are medians of triangle ABC and PQR respectively.
And,
~
To Prove:
Proof: We have
~
Therefore,
{Corresponding angles of similar triangles are equal} (1)
Also, we can say that
{Corresponding sides of similar triangles are proportional}
{AD and PM are medians} (2)
From (1) and (2), we can say that by SAS similarity criterion,
~
(3)
From (3), we can say that
{Corresponding sides of similar triangles are proportional}
Hence Proved
ayushi says
Thanx i learned alot from it