A figure is shown. ![](http://admin.getprephub.com/media/editor/p15_20230225214426093618.png) What is the perimeter, in meters $$(m)$$, of triangle $$P R T$$ ?

In triangles $$P R T$$ and $$QRS$$, (i) $$\quad<{RPT} \cong<R Q S$$ [corresponding angles are congruent] (ii) $$\quad<{RSQ} \cong<R T P$$ [corresponding angles are congruent] By A-A rule of similarity, $$\frac{Q R}{P R}=\frac{R S}{R T}=\frac{Q S}{P T}$$ Putting the values, $$\frac{3}{6}=\frac{7}{14}=\frac{8}{P T}$$ Or, PT $$=16$$ Perimeter of triangle PRT is $$P R+R T+P T=6+14+16=36$$ unit

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A figure is shown.

What is the perimeter, in meters $(m)$ , of triangle $P R T$ ?

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