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Question
Given ΔABC ∼ ΔPQR, if `"AB"/"PQ" = 1/3`, then `(ar(ΔABC))/(ar(ΔPQR))` = ______.
Fill in the Blanks
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Solution
Given ΔABC ∼ ΔPQR, if `"AB"/"PQ" = 1/3`, then `(ar(ΔABC))/(ar(ΔPQR))` = 1 : 9.
Explanation:
Since, ΔABC ∼ ΔPQR, we have
`(ar(ΔABC))/(ar(ΔPQR)) = ((AB)/(PQ))^2` ...[∴ By using property of similar triangle]
= `(1/3)^2`
= `1/9`
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