Question : $\triangle$ABC is similar to $\triangle$PQR. If the ratio of the perimeter of $\triangle$ABC and the perimeter of $\triangle$PQR is 24 : 16 and PQ = 4.8 cm, then the length (in cm) of AB is:

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 : $\triangle \mathrm {ABC}$ is similar to $\triangle \mathrm{PQR}$ and $\mathrm{PQ}=10 \mathrm{~cm}$. If the area of $\triangle \mathrm{ABC}$ is $32 \mathrm{~cm}^2$ and the area of $\triangle \mathrm{PQR}$ is $50 \mathrm{~cm}^2$, then the length of $A B$ (in

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 : $\triangle\mathrm{ABC}$ is a right angled triangle. $\angle \mathrm{A}=90°$, $AB = 4$ cm, and $BC = 5$ cm. What is the value of $\cos B + \cot C$?