SOLUTION: " A small distance commuter airline flies to three cities whose locations form the vertices of a right triangle. The total flight distance (from city A to city B to city C and back

Question 591881: " A small distance commuter airline flies to three cities whose locations form the vertices of a right triangle. The total flight distance (from city A to city B to city C and back to city A) is 1400 miles. It is 600 miles between the two cities that are furthest apart. Find the other two distances between cities. "
That is the math problem. So far all I could tell was that the miles from city B to city C and from city C to city A is 800 miles. The figure is a right triangle in which side BA is the longest, AC is the middle one in length and BC is the shortest side. Please help, I have an exam tomorrow and I do not understand how to solve this excercise.
Thank you
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
x + y = 800

x^2 + y^2 = 600^2

solve by substitution
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