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Find one side of a rectangle whose other side measures $8 cm$ and the length of each of whose diagonals is $10 cm$ .

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10cm

4cm

6cm

8cm

answer is C.

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Detailed Solution

A rectangle is given whose side measures

8 cm

and the length of each of diagonals is

10 cm

By Pythagoras theorem:

A C 2 = A B 2 + B C 2 (10) 2 = A B 2 + (8) 2 A B 2 = 100 − 64 A B 2 = 36 A B = 36 A B = 6

So, the length of the side of the rectangle = 6cm.
Hence, the correct option is 3.

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