Determining Length of Side BC in Triangle

Medium Problem Solving Geometry

In a triangle ABC, the lengths of sides AB and AC are 8 and 6, respectively. The angle A is given to be less than 90 degrees.

What is the length of side BC?

Statement (1): The length of side BC is equal to the length of the median from A to side BC.

Statement (2): The triangle is isosceles with sides AB and AC.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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% Correct94%