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26 Apr 2019, 07:24
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C
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What is the perimeter of triangle ABC ?
(1) AB = 16 inches
(2) ΔABC is equilateral.
DS79502.01
Quantitative Review 2020 NEW QUESTION
(1) AB = 16 inches
(2) ΔABC is equilateral.
DS79502.01
Quantitative Review 2020 NEW QUESTION
26 Apr 2019, 12:08
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Bunuel
What is the perimeter of triangle ABC ?
(1) AB = 16 inches
(2) ΔABC is equilateral.
DS79502.01
Quantitative Review 2020 NEW QUESTION
(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 ABC
Since 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 = 3
We COULD also have a 10 x 10 x 10 triangle, in which case the perimeter = 30
Since 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 = 48
Since we can answer the target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
27 Apr 2019, 04:28
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The Logical approach to this question will start with the fact that in order to find the perimeter of a triangle we need to know the length of all three sides.
Statement (1) gives us the length of just one side, so it is not enough.
Statement (2) tells us that all three sides are equal, but not what their length are, so it is also not enough.
Both statements combined tell us that the triangle has three sides of 16 inches, which is definitely enough.
The correct answer is (C).
Posted from my mobile device
Statement (1) gives us the length of just one side, so it is not enough.
Statement (2) tells us that all three sides are equal, but not what their length are, so it is also not enough.
Both statements combined tell us that the triangle has three sides of 16 inches, which is definitely enough.
The correct answer is (C).
Posted from my mobile device
