VTMO 2026 - Grade 8 - Semifinal - SET 10 - Self-study Question 22

Question 22

Triangle $ABC$ is isosceles at $A$. Point $O$ is inside it, with $OA=3$ cm and $OB=OC=2$ cm. The distance from $O$ to $AB$ is $1$ cm. Find the distance from $O$ to $BC$.

Question illustration

$\frac{2\sqrt6+1}{3}$
$\frac{\sqrt6-1}{3}$
$\frac{2\sqrt6-1}{3}$
$\frac{\sqrt6-1}{2}$
$\frac{\sqrt6+1}{2}$