In the given figure. Find the length of side BC.

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25cm

26cm

30cm

32cm

answer is B.

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Detailed Solution

Concept- As in the given illustration we can say that the abcd is a trapezium and we can also find

△ ABD

now using these two illustration and their formula we will get BC.
AC is 7 cm,
ABCD is a trapezium therefore AB|| CD
∠DAB = 900
BD = 25 cm
CD = 17 cm
In that given illustration we can see a triangle that is ∆ abd and the ∠A=900
As it right angle triangle we can use the Pythagoras theorem that is
bd 2 = ab 2 + announcement 2
252 = 7 2 + AD2
∴AD2 = 576 Announcement =24.
Now we can draw be from the corner B on the side CD.
Question Image

Now, we get a rectangle that is ‘ABDE’
AB = ED= 7cm and announcement =BE=24cm
So that CE= CD – ED = ( 17 – 7 ) = 10cm.
Now we can see one ore triangle ∆BCE, as it is 90 degree triangle we can use pythagoras
theorem