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Question

In ABC, AC > AB and AD bisects A. Which of the following option is correct?


A

ADC ADB

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B

ADC ADB

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C

ADC = ADB

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D

None of these

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Solution

The correct option is A

ADC ADB


In ABC, it is given that AC > AB, which means B > C.

Now, AD bisects A,
so, in ADC, ADC = 180 - (A2 + C)
Similarly, in ADB, ADB = 180(A2 + B)

and since B in ADB is greater than C in ADC, and A2 is common (AD is the bisector),
we can deduce that ADB is smaller than ADC, and the side opposite to the bigger angle would be larger than the other.


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