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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