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      Question

      A rhombus has side 13 cm and one diagonal 24 cm. Find

      its area.
      A 120 sq cm Correct Answer Incorrect Answer
      B 115 sq cm Correct Answer Incorrect Answer
      C 129 sq cm Correct Answer Incorrect Answer
      D 133 sq cm Correct Answer Incorrect Answer

      Solution

      ATQ, Diagonals of a rhombus bisect each other at right angles. Half of one diagonal = 24/2 = 12 cm Let half of other diagonal = x Using Pythagoras in one of the right triangles: 12^2 + x^2 = 13^2 144 + x^2 = 169 x^2 = 25 x = 5 So second diagonal = 10 cm Area of rhombus = (1/2) x d1 x d2 = (1/2) x 24 x 10 = 120 sq cm

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