Hanoi Open Mathematics Competition 2012 Junior Question 14

In triangle \(ABC\), \(\angle A=90^\circ\), and the bisectors of \(B,C\) meet at \(I\). Let \(IH\perp BC\), with \(H\in BC\). If \(HB=5\text{ cm}\), \(HC=8\text{ cm}\), compute the area of \(ABC\).