Given figure:

AB > AC

To determine the correct statement among the given options, we need to understand the inequality theorem related to sides of a triangle.

Inequality Theorem:

In a triangle, the sum of any two sides is always greater than the third side.

i.e., AB + AC > BC, AC + BC > AB and BC + AB > AC

Explanation:

Suppose we take AB, BC, and AC as the sides of a triangle. According to the inequality theorem, the sum of any two sides must be greater than the third side.

For instance, if we take AB and AC as two sides, then their sum (AB+AC) must be greater than the third side (BC). Similarly, if we take AC and BC as two sides, then their sum (AC+BC) must be greater than the third side (AB). And, if we take BC and AB as two sides, then their sum (BC+AB) must be greater than the third side (AC).

Based on the inequality theorem, let's analyze the given figure and determine the correct statement.

Option (a) AB AD:

We cannot determine whether AB > AD or not using the given figure. Because the position of point D is not given in the figure. Hence, option (a) is incorrect.

Option (b) AC AD:

We cannot determine whether AC > AD or not using the given figure. Because the position of point D is not given in the figure. Hence, option (b) is incorrect.

Option (c) BC AD:

We cannot determine whether BC > AD or not using the given figure. Because the position of point D is not given in the figure. Hence, option (c) is incorrect.

Option (d) Cannot be determined:

As we have seen in options (a), (b), and (c), we cannot determine whether any of the sides are greater than AD or not using the given figure. Hence, option (d) is the correct statement.

Therefore, the correct option is (d) Cannot be determined.