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15 Aug 2017, 02:23
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (02:01) correct
20%
(02:18)
wrong
based on 74
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Time
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Not Attempted Yet
In the figure above, if AB = 5, AC = 3 and BC = CD, then BE =
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Attachment:
2017-08-15_1321.png [ 8.39 KiB | Viewed 5810 times ]
15 Aug 2017, 02:29
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Similar triangles with all angles equal.
Sides must be proportional
AC = CE (since BC = CD)
BE= 4-3=1
A
Sides must be proportional
AC = CE (since BC = CD)
BE= 4-3=1
A
18 Aug 2017, 09:13
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Bunuel
We see that triangle ABC and triangle CED are similar because they both have a 90-degree angle and angle x.
Since AB = 5 and AC = 3, BC must be 4, and thus CD must be 4 also.
So, we see that the ratio between sides of ABC and CED is: 1/1. So, since AC = 3, CE = 3, and thus BE is 4 - 3 = 1.
Answer: A
