In the given figure, $ riangle A B C \sim riangle Q P R$. If $A C=6 \mathrm{~cm}$, $B C=5 \mathrm

Question

In the given figure, $	riangle A B C \sim 	riangle Q P R$. If $A C=6 \mathrm{~cm}$, $B C=5 \mathrm{~cm}, Q R=3 \mathrm{~cm}$ and $P R=x$, then the value of $x$ is\

Professor PC Thomas Classes · Answer

(b):Given, $	riangle A B C \sim 	riangle Q P R$\ $\Rightarrow \frac{A B}{Q P}=\frac{B C}{P R}=\frac{A C}{Q R} \quad 	herefore \quad \frac{5}{x}=\frac{6}{3} \Rightarrow x=\frac{5 	imes 3}{6}=2.5$\ $\Rightarrow \quad x=2.5 \mathrm{~cm}$ \ Concept Applied - The sum of interior angles of a triangle is $180^{\circ}$.