△ABC ~ △PQR. A(△ABC) : A (△PQR) = 16 : 25. If BC = 2 cm, find QR
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QR=2cm is your answer please make me.
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Answer:
QR = 2.5 cm
Step-by-step explanation:
As ∆ABC ~ ∆PQR,
Therefore, ar(ABC)/ar(PQR) = (BC/QR)² = 16/25
(BC/QR)² = 16/25
Taking square root on both sides,
Therefore, BC/QR = 4/5
i.e. 2/QR = 4/5
QR = (5×2)/4
QR = 2.5 cm
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