CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.5 Question 2
2. PQR is a triangle right angled at P and M is a point on QR such that PM
QR. Show that
Solution:
Given: PQR is a triangle right angled at P. Also, PM
QR.
To prove:
Proof:
In
and
{Common angle}
{Each 90 degrees}
By AA similarity criterion,
~
Therefore,
(1)
{Corresponding sides of similar triangles are proportional}
Similarly, by AA similarity criterion, we can prove that
~
Therefore,
(2)
{Corresponding sides of similar triangles are proportional}
Multiplying (1) by (2), we get
Hence Proved
raman mahar says
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