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प्रश्न
The areas of two similar triangles ABC and PQR are in the ratio 9 : 16. If BC = 4.5 cm, find the length of QR.
बेरीज
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उत्तर
It is given that ΔABC ~ ΔPQR
Therefore, the ration of the areas of triangles will be equal to the ratio of squares of their corresponding sides.
`(ar(ΔABC))/(ar(ΔPQR))=(BC^2)/(QR^2)`
⇒ `9/16 = 4^2/(QR^2)`
⇒ `QR^2 = (4.5xx4.5xx16)/9`
⇒ `QR = sqrt(((4.5xx4.5xx16))/9`
`= (4.5xx4)/3`
= 6 cm
Hence, QR = 6 cm
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