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#1 2010-07-01 13:50:19
- lakeheadca
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Square problem:
ABCD is a square with area 9. efgc is a square in which EC=1/3(BC). HIJC is s square in which HC=1/3(EC). If this pattern is continued so that there are a total of ten squares with common vertex at C. and in which each square lies inside its predecessor, what is the area of the tenth square?
Answer: 9^-8
#2 2010-07-01 17:17:09
- bobbym
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Re: Square problem:
Hi lakeheadca;
That answer is correct.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#4 2010-07-02 01:46:35
- bob bundy
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Re: Square problem:
ABCD has area 3 x 3 = 9 = 9 ^ 1
EFCG has area 1 x 1 = 1 = 9 ^ 0
HICJ has area 1/3 x 1/3 = 1/9 = 9 ^ -1
KLCM has area 1/9 x 1/9 = 1/81 = 9 ^ -2
..... .... .....
10th square has area 3^ -8 x 3 ^ -8 = 9 ^ -8
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei