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Posts tagged with Golden Ratio

Pure Gold in Math

April19

In Mathematics there are numbers that are like pure gold – they glow with special properties. Like the magic ring in Lord of the Rings, they release powers of the imagination and can be used to inflict their magic on those unsuspecting students who look at them too closely. Yes, we are talking about The […]

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Beauty is in the eye of the mathematical beholder!

June26

This mask of the human face is based on the Golden Ratio. The proportions of the length of the nose, the position of the eyes and the length of the chin, all conform to some aspect of the Golden Ratio. You can check out how beautiful some people are by using this interactive website. Of […]

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Mathematics and Art – III

April4

The Golden Ratio, or Golden Number, has been well known for centuries as a pleasing balance of length to height and is seen in nature. Therefore, it is commonly used in Architecture and Art. For mathematicians, this ratio is called Phi: Phi (Φ and φ, pronounced [fī]) is a Greek letter. In mathematics it is used […]

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Post Support

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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