Construct a triangle $\mathrm{BCP}$ given $\mathrm{BC}=5\mathrm{cm},$$\mathrm{BP}=4\mathrm{cm}$ and $\angle \mathrm{PBC}=45°.$

Measure and record the length of$\mathrm{AB}.$

Use ruler and compasses only for the following question. All construction lines and arcs must be clearly shown.

Construct a $\mathrm{\Delta ABC}$ in which $\mathrm{BC}=6·5\mathrm{cm},$ $\angle \mathrm{ABC}=60°, \mathrm{AB}=5\mathrm{cm}.$

Use ruler and compasses only for the following question. All construction lines and arcs must be clearly shown.

Construct the locus of points at a distance of $3.5\mathrm{cm}$ from $\mathrm{A}.$

Use ruler and compasses only for the following question. All construction lines and arcs must be clearly shown.

Construct the locus of points equidistant from$\mathrm{AC}$ and $\mathrm{BC}$.

Use raler and compasses only for the following question. All construction lines and arcs must be clearly shown.

Mark $2$points $\mathrm{X}$ and $\mathrm{Y}$ which are at a distance of $3.5\mathrm{cm}$ from $\mathrm{A}$ and also equidistant from $\mathrm{AC}$ and $\mathrm{BC}$. Measure $\mathrm{XY}.$