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Question
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.
Solution
We have,
ΔABC ~ ΔPQR
`("area"(triangleABC))/("area"(trianglePQR))="BC"^2/"QR"^2`
`rArr9/16=4.5^2/"QR"^2`
`rArr3/4=4.5/"QR"` [Taking square root]
`rArr"QR"=(4xx4.5)/3=6` cm
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