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Question
Select the correct alternative for the following question.
(3) If ∆ABC ~ ∆PQR and `(AB)/(PQ) = 7/5`, then ...............
Options
∆ABC is bigger.
∆PQR is bigger.
Both triangles will be equal.
Can not be decided.
Solution
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
Hence, the correct answer is ∆ABC is bigger.
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