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Given that the side of the rhombus = 6 cm.
Then the area of the rhombus = Altitude * side
= 6 * 4
= 24cm^2.
Given that length of 1 diagonal = 8cm.
We know that Area of the rhombus = 1/2 * d1 * d2
24 = 1/2 * 8 * d2
d2 = 6.
Therefore the length of the other diagonal = 6cm.
Hope this helps!