Answer :

Answer:

PN = 3 and IM = 5.

Step-by-step explanation:

As the triangles are similar corresponding sides are in the same ratio. Let PN = x, then IM will be x+2 so

15/9 = x+ 2/ x

5/3 = (x + 2)/ x

5x = 3x + 6

2x = 6

x = 3.

So PN = 3 and IM = 5.

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