find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm.if one of its diagonal is 8 cm long, find the length of the other diagonal.
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Area of the rhombus = Side × Length of the altitude
= 5*4.8
= 24 sq cm
Now,
Let the length of the other diagonal = x
It is known that the area of a rhombus is half the product of its diagonals.
∴ (1/2) × 8 × x = 24
⇒ 4x = 24
⇒ x = 6 cm
The length of the other diagonal is 6 cm.
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