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04 Sep 2025, 22:14
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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In right triangle ABC above, BC = 12, and AD = 9. Which of the following statements, considered individually, is sufficient to determine the triangle’s area?
Indicate all that apply.
A. Triangle ABD is equilateral
B. DC = 6
C. BD is not perpendicular to AC
D. \(AB=\frac{3}{4}BC\)
E. AB ≠ AD
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GMAT-Club-Forum-5bo8adyq.png [ 13.02 KiB | Viewed 138 times ]
21 Sep 2025, 12:31
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Official Explanation
If ABD is equilateral, then AB, the height in larger triangle ABC is 9, and since we also know base BC, we can compute the area, making (A) sufficient.
(B) is correct, because if DC = 6, then AC, the hypotenuse of the right triangle, equals 9 + 6, or 15. This would allow us to compute AB from the Pythagorean Theorem and the area as
(D) is also correct
(E) are not correct. These choices present us with only negative information, that BD is not perpendicular to AC, or that AB ≠ AD. These facts tell us very little, because they present no positive information that would allow us to determine an angle or side length in the figure. The answer is (A), (B), and (D).
Answer: A,B,D
GMAT-Club-Forum-9li73g70.png [ 28.73 KiB | Viewed 95 times ]
GMAT-Club-Forum-vqjoqp1e.png [ 21.17 KiB | Viewed 96 times ]
If ABD is equilateral, then AB, the height in larger triangle ABC is 9, and since we also know base BC, we can compute the area, making (A) sufficient.
(B) is correct, because if DC = 6, then AC, the hypotenuse of the right triangle, equals 9 + 6, or 15. This would allow us to compute AB from the Pythagorean Theorem and the area as
(D) is also correct
(E) are not correct. These choices present us with only negative information, that BD is not perpendicular to AC, or that AB ≠ AD. These facts tell us very little, because they present no positive information that would allow us to determine an angle or side length in the figure. The answer is (A), (B), and (D).
Answer: A,B,D
Attachment:
GMAT-Club-Forum-9li73g70.png [ 28.73 KiB | Viewed 95 times ]
Attachment:
GMAT-Club-Forum-vqjoqp1e.png [ 21.17 KiB | Viewed 96 times ]
