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Question

In the given figure <ABC=900 And BD AC. If AB=5.7cm, BD=3.8cm and CD=4.4cm, Find length of side BC.

A
2.03cm
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B
4.3cm
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C
6.73cm
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D
5.73cm
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Solution

The correct option is C 6.73cm

Given that,

ABC=900&BDAC

and

AB=5.7cm

BD=3.8cm

CD=4.4cm

BC=?

Let AD=ycm and BC=xcm

Then,InΔABD

By pythagoras theorem,

AB2=AD2+DB2

(5.7)2=y2+(3.8)2

32.49=y2+13.3

y2=32.4913.3

y2=19.19

y=4.38cm

Now, InΔABC

By Pythagoras theorem,

AC2=AB2+BC2

(y+4.4)2=(5.7)2+x2

(4.38+4.4)2=32.49+x2

(8.78)232.49=x2

x2=77.8732.49

x2=45.38

x=6.73cm

BC=x=6.73cm

Hence, this is the answer.


1038838_1153507_ans_aaa4ccd53a7948c79c00cabfaf6c3b74.jpg

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