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Question
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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Solution
Since, rhombus is a parallelogram, all sides are equal.
So, area of a rhombus
area of a parallelogram
= side × altitude
= (5 × 4.8) cm2 = 24 cm2
Also, area of a rhombus
`1/2` (Product of its diagonals)
∴ 24 cm2 = `1/2` (8 × d) cm
where d is the length of the other diagonal.
`(48cm^2)/(8cm)` = d
= 6 cm = d
∴ The length of the other diagonal be 6 cm.
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