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In Fig. 7.49, B < A and C < D. Show that AD < BC. Q.3

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Find the important question of ncert class 9th chapter triangles , How i solve the best solution of exercise 7.4 question number 3 . Find the solution of this question in a easiest and simplest way. In Fig. 7.49, B < A and C < D. Show that AD < BC.

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  1. Solution:

    In the question, it is mentioned that angles B and angle C is smaller than angles A and D respectively i.e. B < A and C < D.

    Now,

    Since the side opposite to the smaller angle is always smaller

    AO < BO — (i)

    And OD < OC —(ii)

    By adding equation (i) and equation (ii) we get

    AO+OD < BO + OC

    So, AD < BC

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