Please help!

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- Apr 23rd 2013, 10:33 AMaaronrpooleInteresting problem
Please help!

- Apr 23rd 2013, 12:53 PMMarkFLRe: Interesting problem
Can you find the diagonal using the law of cosines?

- Apr 23rd 2013, 03:55 PMSorobanRe: Interesting problem
Hello, aaronrpoole!

MartFL gave you a powerful hint.

But the answer is even simpler.

Consider the zigzag line.

Code:`*`

|.

3| .

| . 4

*---.-----*

: d. |

: . |

5: . |5

: . |

: .|

* - - - - *

4

Then the side of the square is: $\displaystyle \frac{d}{\sqrt{2}}$

Therefore, the area of the square is: $\displaystyle \frac{d^2}{2}$

- Apr 23rd 2013, 07:54 PMaaronrpooleRe: Interesting problem
I'm pretty sure I'm supposed to have an integer value for the answer

- Apr 23rd 2013, 08:05 PMMarkFLRe: Interesting problem
Using soroban's technique, you will get an integer.

- Apr 23rd 2013, 09:33 PMaaronrpooleRe: Interesting problem
yeah I figured that out after I posted that. lol im stupid :p

Thanks for the help guys.