How do I find a missing side of a triangle with Only 2 given side lengths?

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A gas pipeline must be diverted around a swamp as shown below. The pipeline costs $1225/m to install. How much more money would have to be spent to divert the pipeline around the swamp?

Here is an image to help.

Diagram

Keep in mind, I am only in grade 11 math, please keep things simple.

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Your teacher is claiming that the added distance is $1.27$ km, which means the straight line distance is $5.28$ km. There is not enough information in the problem to make that claim. I tried making the angle right, but that doesn't work. The added distance is larger than that.