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6.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 :

Given, Side = 5 cm, Altitude = 4.8 cm and length of one diagonal(d1) = 8 cm
We know, area of the rhombus = \(Side \times Altitude = 5 \times 4.8 = 24 cm^2\)

Area of the rhombus =\(\frac { 1 }{ 2 } \times d1 \times d2\)

\(\Rightarrow 24 = \frac { 1 }{ 2 } \times 8 \times d2\)

\(\Rightarrow 24 = 4\times d2\)

\(\Rightarrow d2 = 6 cm\)

Hence, the length of other diagonal = 6 cm.