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प्रश्न
ΔABP ~ ΔDEF and A(ΔABP) : A(ΔDEF) = 144 : 81, then AB : DE = ?
बेरीज
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उत्तर
`(A(ΔABP))/(A(ΔDEF)) = 144/81` ...(i)[Given]
`(A(ΔABP))/(A(ΔDEF)) = (AB^2)/(DE^2)` ...(ii)[Theorem of areas of similar triangles]
∴ `(AB^2)/(DE^2) = 144/81` ...[From (i) and (ii)]
∴ `(AB)/(DE) = 12/9` or `4/3` ...[Taking square root of both sides]
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