Question 17
Let $ABC$ be a triangle with $a=BC$, $b=AC$ and $c=AB$. It is given that $c=100$ and
$$\frac{\cos A}{\cos B}=\frac ba=\frac43.$$
Let $P$ be a point on the inscribed circle of $\triangle ABC$. Find the maximum value of $PA^2+PB^2+PC^2$.
$$\frac{\cos A}{\cos B}=\frac ba=\frac43.$$
Let $P$ be a point on the inscribed circle of $\triangle ABC$. Find the maximum value of $PA^2+PB^2+PC^2$.