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?

In the adjoining figure, $\angle BAC={60}^{°}$ and $BC=a, AC=b$ and $AB=c$, then:

In the figure given below, points $P$ and $Q$ are mid-points on the sides $AC$ and $BP$ respectively. The area of each part is shown in the figure, then find the value of $x + y$?