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

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Intern
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Joined: 26 Mar 2019
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In the above figure AD is parrallel to BC. BC = 12 cm and AD  [#permalink]

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New post 23 May 2019, 08:58
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A
B
C
D
E

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

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

angle CBE = angle ADE


angle ECB = angle DAE

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

So, AED and BEC are similar triangles

AE/AD = EC/BC

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

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