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Area of a quadrilateral ABCD is 20 cm2 and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is(a) 4 cm (b) 15 cm (c) 16 cm (d) 18 cm |
Answer» The correct answer is option (c) 16 cm Explanation: Given that, the area of a quadrilateral = 20 cm2 We know that, the area of a quadrilateral = (1/2) (diagonal) (sum of the altitudes) 20 = (1/2) (1+1.5) BD 20 = (1/2) (2.5) BD 20×2 = 2.5 BD 40 = 2.5 BD BD = 16 cm |
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