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Sesam, and did you decide about the airplane? Cool task, by the way.
What airplane? Oh, I see the airplane.
Ment, if you're still interested in the triangle problem, find the length of each leg. Although there's a simpler solution. Without finding the legs and solving any biquadratic equations. Hint: circumscribe a circle around this right triangle.
Why? The problem is solved; you can check it any way you like, even with a ruler or something else. Finding the legs is, to put it mildly, not a pretty way; you'll have to solve some nasty equations.