# NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.4 – Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Side opposite angle

Q-3. In the figure, and . Show that .

Solution:

Given, and

- Now,

… equation (1) (Side opposite to the smaller angle is smaller) … equation (2) (Side opposite to the smaller angle is smaller)

- Adding (1) and (2)

Q-4 AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Figure) Show that and

Give, AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD

- In (see the figure) … equation (1) (Angle opposite to longer side is larger.)
- Now, In , (see figure) … equation (2) (Angle opposite to longer side is larger.)
- Adding (1) and (2) we get,
- Similarly, In , … equation (3) (Angle opposite to longer side is larger.)
- Now, In , … equation (4) (Angle opposite to longer side is larger.)
- Adding (3) and (4) we get,