find the length of CE

Asked by sunil_0010 | 12th Jan, 2010, 09:17: PM

Expert Answer:

ABD is also right angled triangle.

Also BD = DC, and AE = ED .........given.

In ABC,  AB2 = AC2 - BC2 = 25 - BC2

In ABD, AB2 = AD2 - BD2 = AD2 - (BC/2)2 =45/4 - BC2/4

Hence,

25 - BC2 = (45 - BC2)/4

BC = (55/3)

and

AB2 = 25 - 55/3 = (75 - 55)/3 = 20/3

AB = (20/3)

ED = AB/2 = (5/3)

In EBC

CE2 = ED2 + BC2

= 5/3 + 55/3 = 60/3 = 20

CE = 20 = 25 cm.

Regards,

Team,

TopperLearning.

Answered by  | 12th Jan, 2010, 09:38: PM

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