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SSC MTS 2018 · PYQ · Mensuration · medium

The length of one of the diagonals of a rhombus is 48 cm. If the side of the rhombus is 26 cm, then what is the area of the rhombus?

  1. A.360 cm²
  2. B.540 cm²
  3. C.420 cm²
  4. D.480 cm²✓ Correct

Explanation

Half of diagonal d1 = 24. Using Pythagorean theorem: half of d2 = √(26²−24²) = √(676−576) = √100 = 10, so d2 = 20. Area = (1/2)×d1×d2 = (1/2)×48×20 = 480 cm².
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