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 cm^{2}

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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