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08 Oct 2020, 04:53
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E
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Difficulty:
35%
(medium)
Question Stats:
58% (01:10) correct
42%
(01:02)
wrong
based on 65
sessions
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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.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
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
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