Pratibha made a paper lag by pasting an isosceles right triangle on a stick.

What is the measure of $\angle ACD$?

In the figure shown below, $PQR$ is a straight line.

The measure of $\angle PXQ =20°$.

What is the measure of $\angle PXR$?

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.