Consider a right triangle with sides of length x and y, a hypotenuse of length r, and an interior angle theta, such that tan(theta) = y/x. To an observer moving parallel to side x with speed v, the triangle has sides of length x' and y', a hypotenuse of length r', and an interior angle "theta prime".
(a) Does the moving observer see it as a right triangle? Explain
(b) Find an expression for the angle "theta prime" in terms of theta and v
(c) Find an expression for r' in terms of r, v, and theta
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Solution attaches identical PDF and Word documents with the calculations to find expressions for various angles in this triangle relativity question.