CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.5 Question 3
3. ABD is a triangle right angled at A and AC
BD. Show that
(i)
(ii)
(iii)
Solution (i):
Given: ABD is a triangle right angled at A. Also, AC
BD
To Prove:
Proof: In
and
{Each 90 degrees}
{Common angle}
By AA similarity criterion,
~
Therefore,
{Corresponding sides of similar triangles are proportional}
Hence Proved
Solution (ii)
Solution (iii)
In
and
{Each 90 degrees}
{Common angle}
By, AA similarity criterion,
~
Therefore,
Hence Proved
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