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ABC is a right triangle with right angle at point B. If the ratio of AB to BC is 8 to 15, what is the area of the triangle?
(1) The height from point B to the hypotenuse is 120.
(2) The perimeter of the triangle is 680.
  • 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 'D'. Can you explain this answer?
Verified Answer
ABC is a right triangle with right angle at point B. If the ratio of A...
Statement 1: The height from point B to the hypotenuse is 120.
Knowing the height from point B to the hypotenuse (the side opposite the right angle) is 120, we have sufficient information to calculate the area of the triangle. The height is the length of the perpendicular line segment from point B to the base AC. Since we have the height and the length of the base, we can calculate the area using the formula: Area = (1/2) * base * height. Therefore, statement 1 alone is sufficient to determine the area of the triangle.
Statement 2: The perimeter of the triangle is 680.
Knowing the perimeter of the triangle does not provide direct information about the lengths of the sides or the height. Without the lengths of the base and height, we cannot calculate the area of the triangle. Therefore, statement 2 alone is not sufficient to determine the area of the triangle.
Considering both statements together:
Statement 1 provides the height of the triangle, and statement 2 provides the perimeter. However, the perimeter does not directly provide the lengths of the sides or the height. Therefore, even when considering both statements together, we still don't have enough information to determine the lengths of the base and height, and thus we cannot calculate the area of the triangle.
As a result, the correct answer is D: EACH statement ALONE is sufficient to answer the question asked.
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Most Upvoted Answer
ABC is a right triangle with right angle at point B. If the ratio of A...
Statement 1: The height from point B to the hypotenuse is 120.
Knowing the height from point B to the hypotenuse (the side opposite the right angle) is 120, we have sufficient information to calculate the area of the triangle. The height is the length of the perpendicular line segment from point B to the base AC. Since we have the height and the length of the base, we can calculate the area using the formula: Area = (1/2) * base * height. Therefore, statement 1 alone is sufficient to determine the area of the triangle.
Statement 2: The perimeter of the triangle is 680.
Knowing the perimeter of the triangle does not provide direct information about the lengths of the sides or the height. Without the lengths of the base and height, we cannot calculate the area of the triangle. Therefore, statement 2 alone is not sufficient to determine the area of the triangle.
Considering both statements together:
Statement 1 provides the height of the triangle, and statement 2 provides the perimeter. However, the perimeter does not directly provide the lengths of the sides or the height. Therefore, even when considering both statements together, we still don't have enough information to determine the lengths of the base and height, and thus we cannot calculate the area of the triangle.
As a result, the correct answer is D: EACH statement ALONE is sufficient to answer the question asked.
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ABC is a right triangle with right angle at point B. If the ratio of AB to BC is 8 to 15, what is the area of the triangle?(1) The height from point B to the hypotenuse is 120.(2) The perimeter of the triangle is 680.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 'D'. Can you explain this answer?
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ABC is a right triangle with right angle at point B. If the ratio of AB to BC is 8 to 15, what is the area of the triangle?(1) The height from point B to the hypotenuse is 120.(2) The perimeter of the triangle is 680.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 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about ABC is a right triangle with right angle at point B. If the ratio of AB to BC is 8 to 15, what is the area of the triangle?(1) The height from point B to the hypotenuse is 120.(2) The perimeter of the triangle is 680.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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABC is a right triangle with right angle at point B. If the ratio of AB to BC is 8 to 15, what is the area of the triangle?(1) The height from point B to the hypotenuse is 120.(2) The perimeter of the triangle is 680.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 'D'. Can you explain this answer?.
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