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08 Oct 2020, 04:53
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
58% (01:10) correct
42%
(01:02)
wrong
based on 65
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of the triangle PQR where the triangle PQR is inscribed in a circle?
(1) PQR is a right-angled triangle.
(2) The radius of the circle is 3.
(1) PQR is a right-angled triangle.
(2) The radius of the circle is 3.
PelumiOgunlana
09 Oct 2020, 09:52
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1) Statement one is already given to you as an inscribed triangle is a right triangle
2) I thought i could draw a line from the inscribed section to the top of the triangle splitting it into two and having one side be 3 (radius) and the other 4.5 (half the base). Then you would solve for x since the resulting triangles would be 45 (splitting the 90 degree angle opposite the diameter in half)- 45 (missing angle) - 90(perpendicular line drawn from the diameter to the 90 degree triangles. As I type I realize that doesn't work as the original 90 degree angle isn't necessarily on the triangle so it could be the radius length or less than 3.
2) I thought i could draw a line from the inscribed section to the top of the triangle splitting it into two and having one side be 3 (radius) and the other 4.5 (half the base). Then you would solve for x since the resulting triangles would be 45 (splitting the 90 degree angle opposite the diameter in half)- 45 (missing angle) - 90(perpendicular line drawn from the diameter to the 90 degree triangles. As I type I realize that doesn't work as the original 90 degree angle isn't necessarily on the triangle so it could be the radius length or less than 3.
09 Oct 2020, 11:04
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GMATBusters
Statement 1:
No lengths, insufficient.
Statement 2:
Nothing on the triangle, insufficient.
Combined:
We can have many cases here, if we put the hypotenuse of the triangle on the diameter of the circle, then any triangle created is a right triangle but the areas can vary.
Another case is to put a right angle on the circle and complete the triangle, again there's a lot of variations among the areas.
Ans: E
Attachments
Triangle in Circle.png [ 46.94 KiB | Viewed 1495 times ]
