Solved examples

 Given that $△\mathrm{PQR}$ is an isosceles triangle in which $\mathrm{PQ}=\mathrm{PR}$. Find the values of $\mathrm{x}$ and $\mathrm{y}$.

Find the measure of the unknown angles of the triangles in the following figure.

Are the following lengths can be the sides of a right-angled triangle?

$5, 12, 13$

Are the following lengths can be the sides of a right-angled triangle?

$6, 7, 11$

Two sides $\mathrm{AB}$ and $\mathrm{BC}$ of a right-angled triangle $\mathrm{ABC}$ right-angled at $\mathrm{B}$ are $7 \mathrm{cm}$ and $24 \mathrm{cm}$ respectively. Find the length of $\mathrm{AC}$ (in $\mathrm{cm}$).

Find the perimeter of rectangle $\mathrm{PQRS}$ from the given figure.

Find the unknown angles of the triangle.