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If BC is 3, CD is 5, and AE is 8, what is DE ?
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13 Sep 2020, 08:42
13 Sep 2020, 08:42
Expert Reply
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Question Stats:
66% (00:54) correct
33% (01:17) wrong based on 39 sessions
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Attachment:
GRE If BC is 3, CD is 5, and AE is 8, what is DE.png [ 13.98 KiB | Viewed 2002 times ]
If BC is 3, CD is 5, and AE is 8, what is DE ?
A. 3
B. 4
C. 5
D. 6
E. 10
Re: If BC is 3, CD is 5, and AE is 8, what is DE ?
[#permalink]
13 Sep 2020, 17:51
13 Sep 2020, 17:51
1
This involves everyone's favorite right-triangle, 3-4-5. That tells us immediately that BD is 4. Now what?
Because the larger triangle CAE is similar to the smaller CBD, and AE is 8, we know that every side of CAE will be double the corresponding side of CBD. That means that CE is 10, and since DE = CE - CD, DE = 5.
If BC is 3, CD is 5, and AE is 8, what is DE ?
A. 3
B. 4
C. 5
D. 6
E. 10
Because the larger triangle CAE is similar to the smaller CBD, and AE is 8, we know that every side of CAE will be double the corresponding side of CBD. That means that CE is 10, and since DE = CE - CD, DE = 5.
Carcass wrote:
Attachment:
GRE If BC is 3, CD is 5, and AE is 8, what is DE.png
If BC is 3, CD is 5, and AE is 8, what is DE ?
A. 3
B. 4
C. 5
D. 6
E. 10
gmatclubot
Re: If BC is 3, CD is 5, and AE is 8, what is DE ? [#permalink]
13 Sep 2020, 17:51
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