In the adjoining figure AB = 12 cm, CD ...

In the adjoining figure ` AB = 12 cm, CD = 8 cm, BD = 20 cm, angleABD = angleAEC = angleEDC =90^(@)`. If BE = x, then

A

x has two possible values whose difference is 4

B

x has two possible values whose sum is 28

C

x has only one value and ` x ge 12`

D

x cannot be determined with the given information

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The correct Answer is:

A

` 12/x=(20-x)/8 rArr x^(2)-20 x + 96 =0`
` rArr x = 8, 12`

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