Plot the following points on a graph, and check if they form the vertices of an isosceles triangle.

$\mathrm{P}\left(-3, 0\right); \mathrm{Q}(0, 4): \mathrm{R}\left(3, 0\right)$

Draw the coordinate axes and mark the points $A\left(-3, 0\right), B\left(3, 0\right)$ and $C\left(0, 3\sqrt{3}\right)$.

The equation of the graph shown here is:

In the given figure, $AP$ bisect $\angle BAC$. If $\mathrm{AB}=4\mathrm{cm}, \mathrm{AC}=6 \mathrm{cm}$and $\mathrm{BP}=3 \mathrm{cm}$, then the length of $\mathrm{CP}$ is:

$A\left(0,0\right); B\left(2,0\right); C\left(0,-2\right)$ are the vertices of a _____ triangle.