MathNet 2022-part-06 — 196 problems (EN–VI) Question 130

Let $\triangle ABC$ be an isosceles right triangle with $AB = AC = 10$. Let $M$ be the midpoint of $BC$ and $N$ the midpoint of $BM$. Let $AN$ hit the circumcircle of $\triangle ABC$ again at $T$. Compute the area of $\triangle TBC$.