An isosceles triangle has equal sides each $13 \mathrm{cm}$ and a base $24 \mathrm{cm}$ in length. Find its height in $\mathrm{cm}$.

Find the distance in $\mathrm{m}$, between the helicopter and the ship.

In triangle $ABC$, line $l_1$ is a perpendicular bisector of $BC$. If $BC=12 \mathrm{cm}$, $SM=8 \mathrm{cm}$, find $CS$.

Identify the centroid of $△PQR$

Name the orthocentre of $△PQR$.

In the given figure, $A$ is the midpoint of $YZ$ and $G$ is the centroid of the triangle $XYZ$. If the length of $GA$ is $3 \mathrm{cm}$, find $XA$.

If $I$ is the incentre of $\Delta \mathrm{XYZ}, \angle IYZ=30°$ and $\angle IZY=40°$, If $\angle YXZ=k°$, then find the value of $k$.

If $\mathrm{\Delta GUT}$ is isosceles and right-angled, then $\angle \mathrm{TUG}$ is