Question

What is the area of the largest triangle that can be inscribed in a semi-circle of radius 3.5 cm ?

Answer 1

Area of equilateral triangle

$\frac{ \sqrt{3} }{4} {a}^{2} = \frac{ \sqrt{3} }{4} \times 3.5 \times 3.5 \\ = 5.30 \: {cm}^{2}$