What is the area of right triangle ABC?(1) Side AB measures 5 meters and Side BC measures 13 meters(2) Angle ABC measures 90 degrees.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?

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GMAT Exam > GMAT Questions > What is the area of right triangle ABC?(1) Si...

What is the area of right triangle ABC?

(1) Side AB measures 5 meters and Side BC measures 13 meters
(2) Angle ABC measures 90 degrees.

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
d)
EACH statement ALONE is sufficient to answer the question asked
e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed

Correct answer is option 'C'. Can you explain this answer?

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What is the area of right triangle ABC?(1) Side AB measures 5 meters a...

Statement (1): Side AB measures 5 meters, and Side BC measures 13 meters.

This statement provides the lengths of two sides of the triangle. However, it does not provide information about the angle or the relationship between the sides. Without the information about the height or the relationship between the sides, we cannot determine the area of the triangle based on this statement alone.

Statement (2): Angle ABC measures 90 degrees.

This statement tells us that angle ABC is a right angle. A right angle is a necessary condition for a triangle to be classified as a right triangle. However, this statement alone does not provide any information about the lengths of the sides. Without the side lengths, we cannot determine the area of the triangle based on this statement alone.

When we consider both statements together, we have the following information:

Side AB measures 5 meters, and Side BC measures 13 meters (from statement 1)
Angle ABC measures 90 degrees (from statement 2)

With this combined information, we can conclude that triangle ABC is a right triangle with side lengths of 5, 12, and 13 (a well-known Pythagorean triple). The area of a right triangle can be calculated using the formula A = (1/2) * base * height, where A is the area, base is the length of one side, and height is the length of the other side. In this case, we have the base (5 meters) and the height (12 meters), allowing us to calculate the area.

Therefore, when both statements are considered together, we can determine the area of the right triangle ABC.

Since both statements together are sufficient to answer the question, but neither statement alone is sufficient, the correct answer is option C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

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What is the area of right triangle ABC?(1) Side AB measures 5 meters a...

Statement (1): Side AB measures 5 meters, and Side BC measures 13 meters.

Statement (2): Angle ABC measures 90 degrees.

When we consider both statements together, we have the following information:

Side AB measures 5 meters, and Side BC measures 13 meters (from statement 1)
Angle ABC measures 90 degrees (from statement 2)

Therefore, when both statements are considered together, we can determine the area of the right triangle ABC.

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What is the area of right triangle ABC?(1) Side AB measures 5 meters and Side BC measures 13 meters(2) Angle ABC measures 90 degrees.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?

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