How can a segment be divided such that the ratio of the whole long piece to the shorter piece is equivalent to the ratio of the whole segment to the long piece?
This can be solved using something called 'The Golden Ratio', when the longer segment is compared to the whole is about 1.618033988... The Golden Ratio is the ONLY ratio capable of this.
Let x be the length measure of the shortest piece of wood, and 3x the length measure of the other piece of wood. So we have: x + 3x = 8 4x = 8 divide by 4 to both sides; x = 2 The length measure of...