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MathNet 1999 — Part 01 Question 46

Math Olympiad Vault · MathNet 1999 — Part 01

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 $m$.