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geometry

This topic has 1 expert reply and 2 member replies

geometry

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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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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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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

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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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