In the triangle $XYZ$, the median $XP$ is half the length of the side $YZ$. In the triangle, $XZQ, XZ = ZQ$.

What is the measure of $\angle ZXQ$?

In the triangle $ABC$ below, $AC = BC$. In the triangle $DCE, \angle CED =90°$.

What is the value of ‘$x$’?

The measures of the sides of a $△PQR$ are integers in cm. If two of its sides are $1 \mathrm{cm}$ each. Find the perimeter of the triangle.

$ABC$ is a triangle in which $D$ is a midpoint of $BC$ and $E$ is the midpoint of $AD$ such that the area of $∆BED=K$ area of $∆ABC$. Find $K$.

A garden is in the shape of triangle. Its sides, $AB=13 \mathrm{m}$, $BC=14 \mathrm{m}$, and $AC=15 \mathrm{m}$. $AD$ is the path constructed from $A$ to side, $BC$. $AD\perp BC$

What is the ratio, $CD:BD$?

The length, depth, and the height of the box below are $12 \mathrm{cm}$, $9 \mathrm{cm}$, and $8 \mathrm{cm}$ respectively. What is the length of longest rod that can be fitted into the box?