NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.4 – Part 2

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Side opposite angle

Give the side opposite angle made triangle of ABC ,the figur …

Give the Side Opposite Angle

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

Two Join Triangle AOB and DOC

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

Quadrilateral ABCD

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,