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geometry

by sumasajja » Wed Jul 27, 2011 2:18 am
the diagram is given in the attached file

if B and D are centers of the circles shown in the figure above and if BD=12,BC=2, and DE=3 then AB=
a]12
b]14
c]21
d]22
e]24
the answer is b
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dia.jpg
this is the figure
dia.jpg
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by Anurag@Gurome » Wed Jul 27, 2011 5:04 am
sumasajja wrote:the diagram is given in the attached file

if B and D are centers of the circles shown in the figure above and if BD=12,BC=2, and DE=3 then AB=
a]12
b]14
c]21
d]22
e]24
the answer is b
Triangles ABC and ADE are similar triangles. If two triangles are similar, then their sides are in the same ratio.
So, AB : BC = AD : DE
AD = AB + BD = AB + 12
So, AB : 2 = (AB + 12) : 3
3AB = 2AB + 24
AB = 24

The correct answer is E.
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by Ozlemg » Wed Jul 27, 2011 6:28 am
excatly E
I spent 10 mins to figure out how come the answer may be B...
But finally I realized the Expert's solution which is similar to mine
The more you suffer before the test, the less you will do so in the test! :)
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by sumasajja » Wed Jul 27, 2011 6:37 pm
sorry....to mark the answer as b .....it is a typographical mistake n i will recheck henceforth .....so that the answer does not become more difficult than it really is!!! thanks for the posts.....
the answer is d 24
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