Bunuel wrote:
What is the perimeter of triangle ABC ?
(1) AB = 16 inches
(2) ΔABC is equilateral.
DS79502.01
Quantitative Review 2020 NEW QUESTION
Target question: What is the perimeter of triangle ABC ? Statement 1: AB = 16 inches We now know the length of ONE side of the triangle.
Since we don't know the lengths of the other two sides,
we cannot determine the perimeter of triangle ABCSince we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: ΔABC is equilateral. This tells us that all 3 sides have the SAME length. However, we know nothing about these lengths.
So, we COULD have a 1 x 1 x 1 triangle, in which case
the perimeter = 3We COULD also have a 10 x 10 x 10 triangle, in which case
the perimeter = 30Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Statement 2 tells us that all 3 sides have the SAME length
Statement 1 tells us that each side has length 16
So, the answer to the target question is
the perimeter = 16 + 16 + 16 = 48Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
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