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RT = BT = 75
This is because she used the same angle from point C to mark point B, thus creating a symmetric right triangle.
Triangle BCT = Triangle RCT
The general solutions always have some additive/multiplicative constant, that you must fix in the particular solution.
In order to do so, you need to impose that the particular solution passes through a certain point. In your case, you have

and you want

Put everything together, and you have

Since the cosine is zero in the chosen point. So, we've fixed the value of the constant, and the particular solution is found:

Answer:
find three consecutive even integers such that the sum of the second and third is equal to the first and third is 54 more than the second
Step-by-step explanation: