Triangle Perimeter with Isosceles Properties

Medium Problem Solving Geometry

In a triangle, the length of one side is 12 units. What is the perimeter of the triangle?

Statement (1): The lengths of the other two sides are equal.

Statement (2): The triangle is isosceles.

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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