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# In the above figure AD is parrallel to BC. BC = 12 cm and AD

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Intern
Joined: 26 Mar 2019
Posts: 32

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23 May 2019, 08:58
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Difficulty:

35% (medium)

Question Stats:

67% (02:13) correct 33% (01:55) wrong based on 12 sessions

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In the above figure AD is parrallel to BC. BC = 12 cm and AD=3cm if AE = 2 cm what is the lenght of EC in cm?

A)6
B)8
C)9
D)12
E)none of these

In the book solution is given in similar triangle theorm. But there is no similar triangle in trapezium.

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Manager
Joined: 28 Jun 2016
Posts: 216
Concentration: Operations, Entrepreneurship
Re: In the above figure AD is parrallel to BC. BC = 12 cm and AD  [#permalink]

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23 May 2019, 10:33
1
Since AD and BC are parallel,

angle ECB = angle DAE

And since, BD and AC intersects,
angle AED = angle BEC

So, AED and BEC are similar triangles

2/3 = EC/12

EC = 8

Ans B

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Re: In the above figure AD is parrallel to BC. BC = 12 cm and AD   [#permalink] 23 May 2019, 10:33
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