Q.

The length of a diagonal of a rectangle whose adjacent sides are 30 cm and 16 cm is,


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a

30cm

b

34cm

c

32cm

d

31cm 

answer is B.

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Detailed Solution

Given that the rectangle adjacent sides are 30 cm and 16 cm.
Question ImageTwo adjacent sides and a diagonal touching the two adjacent sides of a rectangle makes right angle triangle.
Let, length of diagonal is D cm.
By using Pythagoras Theorem,
Hypotenuse 2 = Base 2 + Perpendicular 2   L2+b2=D2
302+162=D2
900+256=D2
1156=D2
1156=D
34=D
The length of a diagonal is 34cm.
Hence, option 2 is correct.
 
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