Question

in the figure if triangle POQ~triangle SOR and PQ:RS=1:2 , then OP:OS is A)1:2 B)2:1 C)3:1 D)1:3​

Answer 1

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

option A is correct

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Answer 2

Answer:

Here is your answer

Step-by-step explanation:

Just follow the below given steps..

We know that triangles are similar so...

Therefore the value of

op:os is =1:2

Explanation is in the image