Q. 64.1( 248 Votes )

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

Answer :

The diagram is given below:

Now,

Area of rhombus =  Base × Altitude

 = CD × BF

= 5 cm × 4.8 cm

= 24.0 cm2

Also, Area of rhombus = 1/2 × AD× BC

 24 = 1/2 × 8 × BC

 BC = 6 cm

Hence, the length of the other diagonal is 6 cm.

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