CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.3 Question 4
4. In fig 6.36,
and
. Show that
~
Solution:
{Given} (1)
which means QP = PR {Isosceles Triangle} (2)
Putting equation (2) in equation (1), we get
(3)
Therefore, from (3), we can say that PS || TR.
{By the converse of Basic Proportionality Theorem}
In
and
{Common angle}
{Corresponding angles because PS || TR}
Therefore, by AA similarity criterion,
~
Hence Proved
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