Question
Construct an isosceles triangle ABC such that $\mathrm{AB}=6 \mathrm{~cm}, \mathrm{BC}=\mathrm{AC}=4 \mathrm{~cm}$. Bisect $\angle \mathrm{C}$ internally and mark a point P on this bisector such that $C P=5 \mathrm{~cm}$. Find the points which are 5 cm from $P$ and also 5 cm from the line $A B$.
