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The ratio of AB :PQ= 2:3 A(∆ABC ) /A(∆PQR) = 80/125 =AB/PQ |
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Answer» ong>Step-by-step explanation: Given ΔABC∼ΔPQR A(ΔABC)=80 A(ΔPQR)=125 ACCORDING to theorem of areas of similar triangles ""When TWO triangles are similar, the ratio of areas of those triangles is EQUAL to the ratio of the square of their corresponding sides' ∴ A(ΔPQR) A(ΔABC)
= PQ 2
AB 2
⇒ 125 80
= PQ 2
AB 2
25 16
= PQ 2
AB 2
⇒ 5 2
4 2
= PQ 2
AB 2
⇒ PQ AB
= 5 4
Therefore, A(ΔPQR) A(ΔABC)
= 125 80
and PQ AB
= 5 4
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