NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.1 – Part 3
Angle Angle Side congruence condition
5. Line l is the bisector of an angle and B is any point on l. BP and BQ are perpendiculars from B to the arms of (see Fig). Show that:
or B is equidistant from the arms of
Give, l is the bisector of an angle
BP and BQ are perpendiculars.
(l is bisector)
Therefore, (by Angle-Angle-Side congruence condition).
by Corresponding Part of Congruent Triangles.
Therefore, B is equidistant from the arms of .
Q-6 In the Figure. , . Show that
(Adding ∠DAC both sides)
Therefore, (by Side-Angle-Side congruence condition).
(By Corresponding Part of Congruent Triangles)