Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 c

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Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?

Answer: Option E

Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect at right angles in a rhombus. BE² + AE² = AB² 25² = 15² + AE²
AE = √(625 - 225) = √400 = 20, AC = 20 + 20 = 40 cm. Area of a rhombus = 1/2 * d₁d₂ = 1/2 * 40 * 30 = 600 sq.cm.

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