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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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Capture (4).JPG [ 21.32 KiB | Viewed 4465 times ]
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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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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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
3,4,5
5,12,13
30,60,90
45,45,90
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F0C9F0B5-3A59-4237-8498-CA9376E70EF2.jpeg [ 291.66 KiB | Viewed 1977 times ]
