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ABCD is an isosceles trapezium with AB ∥ DC, ∠A = 60° and AD = DC = CB = 5 cm. How long is AB?

Class 8Kites and TrapeziumsQuadrilaterals
  • A7.5 cm
  • B15 cm
  • C10 cm
  • D5 cm

Step-by-Step Solution

Dropping perpendiculars from D and C cuts off two right triangles with a 60° angle; the base of each is half of 5 cm = 2.5 cm (a 60° slant of 5 cm moves 2.5 cm sideways). AB = 2.5 + 5 + 2.5 = 10 cm. (Equivalently, the shape is three equilateral triangles of side 5 cm.)
Answer: C) 10 cm

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