document.write( "Question 989964: For what value of m will the triangle formed by the lines y=5, y=mx-6 and
\n" ); document.write( "y=-mx-6 be equilateral? \n" ); document.write( "

Algebra.Com's Answer #611272 by Fombitz(32388) $\"\"$ $\"About$

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The two lines have y-intercepts equal to $\"-6\"$ .
\n" ); document.write( "So the altitude of the equilateral triangle is $\"A=5-%28-6%29=11\"$
\n" ); document.write( "The altitude, half side, and side form a right triangle.
\n" ); document.write( " $\"A%5E2%2B%28S%2F2%29%5E2=S%5E2\"$
\n" ); document.write( " $\"A%5E2=%283%2F4%29S%5E2\"$
\n" ); document.write( " $\"A=%28sqrt%283%29%2F2%29S\"$
\n" ); document.write( " $\"11=%28sqrt%283%29%2F2%29S\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"S=22%2Fsqrt%283%29\"$
\n" ); document.write( "The top edge is centered about $\"x=0\"$ so the endpoints of the two vertices are
\n" ); document.write( "( $\"11%2Fsqrt%283%29\"$ , $\"5\"$ ) and ( $\"-11%2Fsqrt%283%29\"$ , $\"5\"$ ).
\n" ); document.write( "Now that you have two points, find the slope.
\n" ); document.write( " $\"m=%285-%28-6%29%29%2F%2811%2Fsqrt%283%29-0%29\"$
\n" ); document.write( " $\"m=11%2F%2811%2Fsqrt%283%29%29\"$
\n" ); document.write( " $\"m=sqrt%283%29\"$
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