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# Square inscribed in a triangle

### #1

Posted 25 February 2013 - 05:30 AM

A triangle has sides 10, 17, and 21. A square is inscribed in the triangle. One side of the square lies on the longest side of the triangle. The other two vertices of the square touch the two shorter sides of the triangle. What is the length of the side of the square?

### #2

Posted 25 February 2013 - 06:39 AM Best Answer

### #3

Posted 25 February 2013 - 12:20 PM

spolier doesnt seem to work..

33.55??

### #4

Posted 25 February 2013 - 01:09 PM

### #5

Posted 25 February 2013 - 03:31 PM

Spoiler for I think...

It always amazes me when people use strategies hidden in the problem that i didn't even consider and even more makes me jealous when their strategy is more efficient than my own.

### #6

Posted 26 February 2013 - 01:42 AM

Spoiler for I think...It always amazes me when people use strategies hidden in the problem that i didn't even consider and even more makes me jealous when their strategy is more efficient than my own.

Thanks. Although witzar's answer involves even less work than mine.

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