The vertices of an equilateral triangle are labelled \(X\), \(Y\) and \(Z\). The points \(X\), \(Y\) and \(Z\) lie on a circle of circumference \(10\) units. Let \(P\) and \(A\) be the numerical values of the triangle’s perimeter and area, respectively. Which of the following is true?
\(P^2\) is rational.
Can we draw a diagram? What is the radius of the circle?