document.write( "Question 474436: Two cars start at the same place. They drive in opposite directions for 11 miles, they both turn to their left and drive 6 miles, then they both turn to their left and drive 3 miles, and stop. How far apart are they when they stop? \n" ); document.write( "

Algebra.Com's Answer #325410 by Theo(13342) $\"\"$ $\"About$

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if I did this correctly, they should be 20 miles apart.
\n" ); document.write( "check out the diagram to see what's happening.
\n" ); document.write( "from the point in the middle you see right 11 miles then up 6 miles then left 3 miles.
\n" ); document.write( "from the point in the middle you see left 11 miles then down 6 miles then left 3 miles.
\n" ); document.write( "the figures abgove the line of AC are congruent to the figures below the line of AC.
\n" ); document.write( "in particular, rectangle AFGH is congruent to rectangle CDEI.
\n" ); document.write( "also in particular, triangle BHG is congruent to triangle BIE.
\n" ); document.write( "The line GE is a straight line between points E and G.
\n" ); document.write( "Those are the points where the two cars eventually stop.
\n" ); document.write( "Triangle BHG and triangle BIE are both right triangles.
\n" ); document.write( "BG is the hypotenuse of triangle BHG.
\n" ); document.write( "BE is the hypotenuse of triangle BIE.
\n" ); document.write( "each of these triangles has a hypotenuse that is equal to the square root of (8 squared plus 6 squared) which is equal to the square root of (100) which is equal to 10.
\n" ); document.write( "add 10 and 10 together to get 20.
\n" ); document.write( "this is the distance between the 2 cars.
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