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Which of the following is a golden ratio? A) 25 : 1 B) 1.615 : 1 C) 1.5 : 1D) 1 : 2 |
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Answer» Correct option is B) 1.615 : 1 Correct option is (B) 1.615 : 1 Two numbers a & b are in the golden ratio if the ratio of the sum of numbers divided by larger number (let a) is equal to the ratio of the larger number divided by the smaller number (i.e., \(\frac ab)\) i.e., \(\frac{a+b}a=\frac ab\) Golden ratio \(=\frac{1+\sqrt5}2\) = 1.618 \((\because\frac{1+\sqrt5+2}{1+\sqrt5}=\frac{3+\sqrt5}{1+\sqrt5}=\frac{5.236}{3.236}=1.618\) \(and\;\frac{1+\sqrt5}2=1.618)\) |
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