Question

As per the information given in the fig 2.45, are the triangles XYZ and DEN similar?

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{have}\frac{4}{8}=\frac{5}{10}=\frac{6}{12} \\ \Rightarrow \frac{\mathrm{PQ}}{\mathrm{AD}}=\frac{\mathrm{PR}}{\mathrm{AE}}=\frac{\mathrm{QR}}{\mathrm{DE}} \\ \therefore △\mathrm{PQR}~△\mathrm{ADE}(\mathrm{SSS}\mathrm{similarity}\mathrm{test}) \end{gathered}$$