Question 88
Let $A$ be the closed domain on the plane delimited by three lines $x = 1$, $y = 0$, and $y = t(2x - t)$, where $0 \lt t \lt 1$. Prove that the surface of any triangle inside the domain $A$ with $P(t, t^2)$ and $Q(1, 0)$ as two of its vertices cannot exceed $\frac{1}{4}$.