document.write( "Question 852725: a square has been divided ino four triangles by its diagnols.if the perimeter of each triangle is 1,what is the perimeter of the square? \n" ); document.write( "

Algebra.Com's Answer #513647 by KMST(5347) $\"\"$ $\"About$

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If $\"x\"$ = side of the square
\n" ); document.write( " $\"x%2Asqrt%282%29\"$ = diagonal of the square, and
\n" ); document.write( " $\"x%2Bx%2Asqrt%282%29=%281%2Bsqrt%282%29%29%2Ax=1\"$ = perimeter of triangle.
\n" ); document.write( "So $\"x=1%2F%281%2Bsqrt%282%29%29=%281-sqrt%282%29%29%2F%281-2%29=sqrt%282%29-1\"$ , and
\n" ); document.write( " $\"highlight%284%28sqrt%282%29-1%29=4sqrt%282%29-4%29\"$ = perimeter of square. \n" ); document.write( "

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