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Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal. |
Answer» Side of rhombus = 6 cm Altitude of rhombus = 4 cm Since rhombus is a parallelogram, therefore area of parallelogram = base× altitude Area of parallelogram = 6 × 4 = 24 cm2 Area of parallelogram = area of rhombus Area of rhombus = \(\frac{1}{2}\)x d1 x d2 24 = \(\frac{1}{2}\)x 8 x d2 d₂ = \(\frac{24}{4}\) = 6 Hence, length of other diagonal of rhombus is 6 cm |
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