Which of the following statements would provide sufficient data for us to solve the question below? Please provide supporting reason(s) for your answer.
1. What is the perimeter of an isoceles triangle XYZ?
(1) XY = 11
(2) YZ = 15
Answer Choices:
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are not sufficient.
Submission is closed.
Tarun’s solution: The correct answer is E. Statement (1) or (2) alone is insufficient as it provides one side of the triangle’s length. Statement (1) and (2) together is insufficient as we do not know which measurement to take for the 2 equal sides and the 3rd side. Hence, the perimeter of the isosceles triangle can be either 2(11) + 15 = 37 or 2(15) + 11 = 41
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