Question

(i) Study the adjoining figure and find out whether the triangles are similar Give reason.

Answer 1

In the given figure

To prove:

$△MTP\sim △MNK$ or not?

(1) $\angle TMP=\angle NMK$ ( common)

(2) $\frac{MT}{MN}=\frac{MP}{MK}=\frac{PT}{KN}$

$\frac{2}{6}=\frac{3}{9}=\frac{2.5}{7.5}=\frac{1}{3}$

Hence, with sss criteria

$△MTP\sim △MNK$