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I doubt it. If I put the base of a right angle triangle on one of the parallels and the opposite apex on the other parallel line, there is a side at right angles to both lines, but the hypotenuse might be sloping down at any angle you like.

If you are given the distance between the parallels, then you must be given the length of the base or the smaller base angle to fix a particular right-angled triangle.

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Q: Are all right angled triangles between same parallels similar?
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