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

Give the Side Opposite Angle Made Triangle of ABC , the Figur …

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,