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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.

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.

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Rhombus is a type of parallelogram and area of parallelogram is product of base and height.

So,Area of rhombus = base \times height

                           = 5\times 4.8

                           = 24

Let the other diagonal be x

Area of rhombus =

=\frac{1}{2}\times product\, of\, diagonals

24=\frac{1}{2}\times8\times x

x=6cm

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