In the given figure, AB > AC. Then which of the following is true?

Question:

In the given figure, AB > AC. Then which of the following is true?
(a) AB < AD
(b) AB = AD
(c) AB > AD
(d) Cannot be determined

 

Solution:

(c) AB > AD

$A B>A C$ is given.

$\therefore \angle A C B>\angle A B C$

Now, $\angle A D B>\angle A C D \quad$ (exterior angle)

$\Rightarrow \angle A D B>\angle A C B>\angle A B C$

$\Rightarrow \angle A D B>\angle A B D \Rightarrow A B>A D$

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