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# ABC and AED are triangles with BC and ED perpendicular to AB

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Manager
Joined: 06 Feb 2013
Posts: 59

Kudos [?]: 53 [0], given: 35

ABC and AED are triangles with BC and ED perpendicular to AB [#permalink]

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14 Oct 2013, 05:42
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25% (medium)

Question Stats:

73% (01:34) correct 27% (01:09) wrong based on 64 sessions

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ABC and AED are triangles with BC and ED perpendicular to AB. Find the length of ED if the area of ABC is 16.

(1) AB=8
(2) AE=5

Source: Barron's
[Reveal] Spoiler: OA

_________________

There are times when I do not mind kudos...I do enjoy giving some for help

Last edited by Bunuel on 14 Oct 2013, 05:46, edited 1 time in total.
Edited the question.

Kudos [?]: 53 [0], given: 35

Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132601 [1], given: 12326

Re: ABC and AED are triangles with BC and ED perpendicular to AB [#permalink]

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14 Oct 2013, 05:52
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ABC and AED are triangles with BC and ED perpendicular to AB. Find the length of ED if the area of ABC is 16.

(1) AB=8 --> 1/2*AB*BC=16 --> BC=4. Not sufficient.
(2) AE=5. Not sufficient.

(1)+(2) Triangles ABC and AED are similar: ED:BC=AE:AB --> ED:4=5:8 --> ED=20/8. Sufficient.

_________________

Kudos [?]: 132601 [1], given: 12326

Re: ABC and AED are triangles with BC and ED perpendicular to AB   [#permalink] 14 Oct 2013, 05:52
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