NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.1 – Part 3 (For CBSE, ICSE, IAS, NET, NRA 2023)
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Angle Angle Side congruence condition
Q-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
Solution:
Give, l is the bisector of an angle
BP and BQ are perpendiculars.
- In and
(Right angles)
(l is bisector)
(Common line)
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
Solution:
Given,
To show,
Proof,
(Adding ∠ DAC both sides)
In and
(Given)
(Given)
Therefore, (by Side-Angle-Side congruence condition) .
(By Corresponding Part of Congruent Triangles)