The circle O is an inscribed circle of $\displaystyle \Delta $ABC and points P, Q and R are the points of tangency of sides BC, CA and AB respectively.
AB = AC = 13, BC = 10.
The scalar product of two vectors $\displaystyle \vec{AB}.\vec{AO}, \vec{AB}.\vec{BC}$?
The circle O is an inscribed circle of $\displaystyle \Delta $ABC and points P, Q and R are the points of tangency of sides BC, CA and AB respectively.
AB = AC = 13, BC = 10.
The scalar product of two vectors $\displaystyle \vec{AB}.\vec{AO}, \vec{AB}.\vec{BC}$?
Any tips? Look at the picture.
From the given, it follows that $|BP|=|PC|=5~$ or $\Delta BAC$ is isosceles.