It is given that $ riangle ABC \sim riangle QRP$ such that $AB =...

Question

It is given that $	riangle ABC \sim 	riangle QRP$ such that $AB = 9$ cm, $BC = 5$ cm and $PR = 2$ cm. Length of side $QR$ is :

Accepted Answer

Step 1: $	riangle ABC \sim 	riangle QRP$ gives the correspondence $A \leftrightarrow Q$, $B \leftrightarrow R$, $C \leftrightarrow P$.
Step 2: Therefore
$$\frac{AB}{QR} = \frac{BC}{RP} = \frac{CA}{PQ}$$
Step 3: $$\frac{9}{QR} = \frac{5}{2}$$
Step 4: $$QR = \frac{9 	imes 2}{5} = \frac{18}{5} = 3{\cdot}6\ 	ext{cm}$$

Correct option : (D)

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