Leave the 8-triangle and 9-triangle uncut and place them into two of the corners of the 17-triangle. This leaves a 9 x 8 parallelogram to be filled in. We can get this parallelogram by cutting the 12-triangle into three pieces: First, cut a 6-triangle off one corner of the 12-triangle and flip it around to form a 6 x 12 parallelogram. Then cut this parallelogram with a zigzag cut to convert it into the desired 9 x 8 parallelogram: The cut consists of three line segments parallel to one or the other of the sides of the parallelogram. It starts at a point 1/3 of the distance between the endpoints of the side of length 12. The three line segments are of lengths 3, 4, and 3. If care is taken in positioning the zigzag cut, then it will not cut the 6-triangle.
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