Question 46
The lines $t$ and $t'$, tangent to the parabola of equation $y = x^{2}$ at the points $A$ and $B$, intersect at the point $C$.
The median of triangle $\triangle ABC$ corresponding to vertex $C$ has length $m$.
Determine the area of triangle $\triangle ABC$ based on $m$.
The median of triangle $\triangle ABC$ corresponding to vertex $C$ has length $m$.
Determine the area of triangle $\triangle ABC$ based on $m$.