A shelf with a triangular frame is fixed on a wall as shown below.

The lengths of the rods used in the shaded triangular frame are $48 \mathrm{cm}, 55 \mathrm{cm}$ and $73 \mathrm{cm}$

What is the type of the shaded triangle?.

A shelf with a triangular frame is fixed on a wall as shown below.

The lengths of the rods used in the shaded triangular frame are $48 \mathrm{cm}, 55 \mathrm{cm}$ and $73 \mathrm{cm}$

What can be the height of the shelf?

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 $K$.