Question

Select the correct alternative for the following question.

(3) If ∆ABC ~ ∆PQR and `(AB)/(PQ) = 7/5`, then ...............

पर्याय

• ∆ABC is bigger. 

• ∆PQR is bigger.

• Both triangles will be equal.

• Can not be decided. 

Answer 1

If ∆ABC ~ ∆PQR and `(AB)/(PQ) = 7/5`then ∆ABC is bigger.

∆ABC and ∆PQR are similar. Therefore, their corresponding sides are proportional.

\[\frac{AB}{PQ} = \frac{BC}{QR} = \frac{CA}{RP} = \frac{7}{5}\]

\[ \Rightarrow AB = \frac{7}{5}PQ, BC = \frac{7}{5}QR, CA = \frac{7}{5}RP\]

Here, sides of ∆ABC are 

\[\frac{7}{5}\] times that of the corresponding sides of ∆PQR. So, ∆ABC is bigger than ∆PQR.
Hence, the correct answer is  ∆ABC is bigger.