minwoswoh wrote:
What is the area of right triangle XYZ?
(1) Side YZ is 9 inches long.
(2) Side XZ is 15 inches long.
Target question: What is the area of right triangle XYZ?KEY CONCEPT: Area of triangle = (1/2)(base)(height)
So, to answer the target question, we need lengths of BOTH the base AND the height.
Statement 1: Side YZ is 9 inches long. We have only 1 measurement. So, there's no way to determine the area of the triangle.
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Side XZ is 15 inches long.We have only 1 measurement. So, there's no way to determine the area of the triangle.
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined We still don't have enough information.
Consider the following 2 cases (which both satisfy the given conditions).
case a:
Here, the
area = (1/2)(9)(12) = 54case b:
Here, the
area = (1/2)(9)(15)= 67.5Since we cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer = E
Cheers,
Brent
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