WAEC Mathematics 2023 Paper

Concept:In a rhombus, the diagonals bisect each other at right angles, dividing the rhombus into four congruent right-angled triangles.Explanation:The diagonals have lengths $16$ cm and $12$ cm.Each diagonal is cut into two equal halves by the other diagonal.Therefore, the two legs of the right triangle are:$\frac{16}{2} = 8$ cm and $\frac{12}{2} = 6$ cm.The side of the rhombus is the hypotenuse of this right triangle.Using the Pythagorean theorem:$s^2 = 8^2 + 6^2$$s^2 = 64 + 36$$s^2 = 100$$s = \sqrt{100}$$s = 10$ cm.So, each side of the rhombus measures $10$ cm.Answer:The length of the side of the rhombus is $10$ cm, which corresponds to Option D.