Golden Ratio Formula
Basically all we need to remember is the number 1.618
With one side of the pentagon known, 292mm in this example. The long part of the whole is equal to 1.618 x 292 = 472.456.
Draw a line equal to the known side length. Then draw a perpendicular bisector.
Draw two arcs from center point A & B using radius 472.456.
Draw two lines intersecting the perpendicular bisector where the arcs intersect.
Draw two arcs from center point A & C using radius 292.
Draw the lines that form the pentagon.
Draw perpendicular bisectors on each side of the pentagon for the profile rafter runs.
Draw the hip rafter run lines, radius lines of the pentagon.