मराठी

Given ΔABC ∼ ΔPQR, if AB/PQ = 1/3, then (ar(ΔABC))/(ar(ΔPQR)) = ______. - Mathematics

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प्रश्न

Given ΔABC ∼ ΔPQR, if `"AB"/"PQ" = 1/3`, then `(ar(ΔABC))/(ar(ΔPQR))` = ______.

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उत्तर

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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