Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

## #1 2010-07-01 13:50:19

Member

Offline

### 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?

## #2 2010-07-01 17:17:09

bobbym

Online

### Re: Square problem:

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #3 2010-07-02 01:30:54

Member

Offline

### Re: Square problem:

how to solve this problem. please explain!

## #4 2010-07-02 01:46:35

bob bundy
Moderator

Offline

### 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