Given ∆ABC~∆PQR,if AB/PQ=1/3,then find ar∆ABC/ar∆PQR
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Given : ∆ABC~∆PQR,
AB/PQ=1/3
To Find : ar∆ABC/ar∆PQR
Solution :
Ratio of Area of similar triangle = (ratio of corresponding side)²
∆ABC~∆PQR
AB/PQ=1/3,
ar∆ABC/ar∆PQR = (AB/ PQ)²
=> ar∆ABC/ar∆PQR = (1/ 3)²
=> ar∆ABC/ar∆PQR = 1² / 3²
=> ar∆ABC/ar∆PQR = 1 / 9
ar∆ABC/ar∆PQR = 1 / 9
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