In Fig. 7.49, $ \angle \mathrm{B}"

AcademicMathematicsNCERTClass 9

Given:

$\angle B<\angle A$ and $\angle C<\angle D$.

To do:

We have to show that $AD$

Solution:

Let us consider $\triangle OAB$

We know that,

The side opposite the smaller angle is always smaller.

This implies,

$AO < OB$

In a similar way,

In $\triangle ODC$ we get,

$OD < OC$

By adding equation (a) with (b),

We get,

$AO+OD < BO+OC$

Therefore,

$AD < BC$.

raja
Updated on 10-Oct-2022 13:41:21

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