document.write( "Question 1034666: Jose owns a square parcel of land on the north side of West-East Road. The property is on the edge of the road between the one- and two-mile markers. The Farm-To-Market(FM) runs perpendicular to the West-East Road and one mile west of the one-mile marker. The cable company wants to run a cable through Jose's property fro, the intersection of the Farm-To-Market(FM) Road and West-East Road. The cable must divide Jose's parcel of land into two parts that are equal in area. Determine the equation of the line that will represent the path of the buried cable. Determine the length of the portion of the cable that runs across Jose's property. \n" ); document.write( "

Algebra.Com's Answer #649372 by addingup(3677) $\"\"$ $\"About$

You can put this solution on YOUR website!
When you cut the property in half with a diagonal line you end up with two identical triangles.
\n" ); document.write( "Because we are dividing a square, the resulting triangles with have angles of 45, 45, and 90 degrees.
\n" ); document.write( "These triangles, called 45-45-90 triangles, have special properties. The hypotenuse is equal to the sqrt 2. So the length of the cable is √2 = 1.414.
\n" ); document.write( "`````````````````````````````````````````````````````````````````````````````
\n" ); document.write( "NOTE: OF course, you can use the Pythagorean theorem to find it:
\n" ); document.write( "a^2+b^2 = c^2
\n" ); document.write( "But why would you, when there is a standard mathematical answer.
\n" ); document.write( " \n" ); document.write( "

\n" );