Question

State whether the given statement is true/false:

In the following diagram, $AB=AC$ then which of the following is correct?

1. $AE>AF$

2. $AF>AE$

Answer 1

Since, $AB=AC$

Let $\angle B=\angle C=x$

Now, $\angle AEF=\angle B+\angle D=x+\angle D$

And $\angle AFE=\angle CFD=\angle C\angle D=x-\angle D$

$\angle AEF>\angle AFE\Rightarrow AF>AE$