in the figure if triangle POQ similar to triangle SOR and PQ:RS =1:2 then OP:OS is
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Given : triangle POQ similar to triangle SOR and PQ:RS=1:2
To find : OP:OS
Solution:
ΔPOQ ≈ ΔSOR
=> PO/SO = OQ/OR = PQ/SR
=> OP/OS = PQ/RS
PQ:RS=1:2
=> PQ/RS= 1/2
=> OP/OS = 1/2
=> OP : OS = 1 : 2
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