Which of the following is not a possible value of x?
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law of cosines can figure out diagonal from the triangle with the 34. Then, same for the left triangle to figure out what that 5x - 1 should be.
You know that the expression (5x-1) represents the hypotenuse of the triangles bounding the rectangle. Let's just look at the triangle STU. Since it is a triangle, the Pythagorean Theorem asserts that the expression (5x-1) measurement of the hypotenuse MUST be greater in magnitude than either of the length magnitudes of the vector ST or TU.
Carefully check the values given to you as options in the problem. Assume the higher number 8.56, since all you need is a value of x such that
\[5x-1\le 8.56\] is true. As soon as that is true, the figure is falsified and proven impossible. Only one value option of the four makes the above expression true. Can you see which one it is?