The centroid, circumcentre, orthocentre in a triangle:

In the figure, the triangle $ABC$ is similar to the triangle $EDC$. If we have $AB= 4$ $cm$, $ED= 3$ $cm$, $CE= 4.2$ $cm$and $CD= 4.8$ $cm$, then the values of $CA$ and $CB$ respectively are:

In a $∆XYZ$, if the internal bisector of $\angle X$ meets $YZ$at '$P$', then _____.

In the given figure, express $x$ in terms of $a$, $b$ and $c$?

In the figure (not drawn to scale) given below, if $AD=CD = BC$, and $\angle BCE={96}^o$, then how much is $\angle DBC?$

Two circles inscribed in a right angled triangle have radii $12 cm$and  $3 cm$. Find length of AP?