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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.

Solution:

Area of rhombus = Base × Height = (1/2) × Product of diagonals
→ 5 × 4.8 = (1/2) × (8 × x)
→ 24 = (1/2) × (8 × x)
→ x = 6 cm