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11 Apr 2022, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
31% (02:41) correct
69%
(02:19)
wrong
based on 107
sessions
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Not Attempted Yet
ABC is an equilateral triangle, and point D is the midpoint of side BC. A is also a point on circle with radius r = 3. What is the area of the triangle?
(1) The line that passes through A and D also passes through the center of the circle.
(2) Including point A, the triangle intersects the circle at exactly four points.
Are You Up For the Challenge: 700 Level Questions
(1) The line that passes through A and D also passes through the center of the circle.
(2) Including point A, the triangle intersects the circle at exactly four points.
Are You Up For the Challenge: 700 Level Questions
11 Apr 2022, 06:04
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Statement (1) The line that passes through A and D also passes through the center of the circle.
Altitude can be any length between 0 and 6; Hence, area of triangle is not fixed- Not sufficient
Statement (2) Including point A, the triangle intersects the circle at exactly four points.
Multiple triangles can be formed - Not sufficient
Combined :
there is only one way in which AD = 6 will be the altitude of the triangle= sufficient
(C) is correct IMO
Altitude can be any length between 0 and 6; Hence, area of triangle is not fixed- Not sufficient
Statement (2) Including point A, the triangle intersects the circle at exactly four points.
Multiple triangles can be formed - Not sufficient
Combined :
there is only one way in which AD = 6 will be the altitude of the triangle= sufficient
(C) is correct IMO
paulrahul
Joined: 07 Mar 2021
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Schools: ISB '23 (S)
GMAT 1: 700 Q49 V37
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GRE 1: Q168 V158
11 Apr 2022, 06:13
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1) Multiple triangles are possible: Connect AD. Circle can be located anywhere along this line and can even be located external to this line (only intersects at A) => NOT SUFFICIENT
2) Multiple triangles are possible => NOT SUFFICIENT
E is the answer
2) Multiple triangles are possible => NOT SUFFICIENT
E is the answer
