Question : $\triangle$ LON and $\triangle$ LMN are two right-angled triangles with common hypotenuse LN such that $\angle$ LON = $90^{\circ}$ and $\angle$ LMN = $90^{\circ}$. LN is the bisector of $\angle$ OLM. If LN = 29 cm and ON = 20 cm, then what is the perimeter (in cm) of

Question : The perimeters of two similar triangles $\triangle$ABC and $\triangle$PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then AB is:

Question : If the triangles ABC and PQR are similar and if $\angle A=35°, \angle B=65°$ then $\angle R=$?

Question : $\triangle$ABC is similar to $\triangle$PQR. The length of AB is 16 cm and the length of the corresponding side PQ is 9 cm. If the area of $\triangle$ABC is 1024 sq. cm, what is the area of $\triangle$PQR?

Question : In a triangle $\triangle \mathrm{PQR}$, the bisectors of $\angle \mathrm{P}$ and $\angle \mathrm{R}$ meet at a point $\mathrm{M}$ inside the triangle. If the measurement of $\angle P M R=127^{\circ}$, then the measurement of $\angle Q$ is: