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WAEC 2023 · Paper 1 · Q34

The diagonals of a rhombus are 16 cm16\text{ cm} and 12 cm12\text{ cm}. Find the length of a side.

Worked solution (try it first)
  1. The diagonals of a rhombus bisect each other at right angles, so each side is the hypotenuse of a right-angled triangle with legs 8 cm and 6 cm.
  2. By Pythagoras, the side is 82+62=100=10\sqrt{8^2 + 6^2} = \sqrt{100} = 10 cm, option B.

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