WAEC Mathematics 2023 Paper

Concept:In an equilateral triangle, the altitude bisects the base and forms a right-angled triangle.Explanation:Each side of the equilateral triangle is $2$ cm. The height (altitude) meets the base at its midpoint. So the base is divided into two equal parts of $1$ cm each. Now, apply Pythagoras theorem to the right triangle formed: Hypotenuse $= 2$ cm, one leg $= 1$ cm, and the other leg is the height $h$. Thus, $h^2 = 2^2 - 1^2$ $h^2 = 4 - 1$ $h^2 = 3$ $h = \sqrt{3}$ cm.Answer:D. $\sqrt{3}$ cm