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505-555 (Easy)|   Geometry|      
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Bunuel
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In the figure above, point O is the center of the circle, points A and 23 Jun 2022, 09:00
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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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15% (low)

Question Stats:

87% (01:22) correct 13% (01:59) wrong based on 30 sessions

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In the figure above, point O is the center of the circle, points A and C are located on the circle, and line segment BC is tangent to the circle. If the area of triangle OBC is 24, what is the length of AB?

(A) 2
(B) 4
(C) 6
(D) 8
(E) 10


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Sankriti
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In the figure above, point O is the center of the circle, points A and 23 Jun 2022, 10:26
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Triangle OBC has an area=24
1/2*BC*OC=24
1/2*8*OC=24
OC=6

OB=10 as 6,8 ,10 are pythagorian triplet.
OA=OC as they are radii of the circle.
AB=OB-OA=10-6=4

Option B

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In the figure above, point O is the center of the circle, points A and 23 Jun 2022, 13:26
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Notable triangles rectangles in the GMAT:
3,4,5
5,12,13
30,60,90
45,45,90
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