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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.



Answer -

Given:Side = 5 cm
Altitude = 4.8 cm
Length of one diagonal = 8 cm
Area of the rhombus = Side × Altitude = 5 × 4.8 = 24 cm2
Area of the rhombus = 1 ×d1 ×d2
24 = 1 ×d1 ×d2
24 = 4d2
d2 =6 cm
Hence, the length of other diagonal = 6 cm.

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