MathDB

Q14 - Hanoi Open Mathematical Olympiad 2012 - Junior Section

Source:

June 10, 2012

geometryinradiustrigonometry

Problem Statement

Q14. Let be given a trinagle

ABC

with

\angle A=90^o

and the bisectrices of angles

B

and

C

meet at

I

. Suppose that

IH

is perpendicular to

BC

(

H

belongs to

BC

). If

HB=5 \text{cm}, \; HC=8 \text{cm}

, compute the area of

\triangle ABC