document.write( "Question 1086102: show that the triangle with vertices A(-1,2)9B(1,-3)and C(3,2) is equilateral \r
\n" ); document.write( "\n" ); document.write( "find the area of the triangle ABC with vertices A(2,4),B(-1,-1)and C(4,1/2)\r
\n" ); document.write( "\n" ); document.write( "find the equation of the line passing through the point A(-2,3) and B(4,2) \n" ); document.write( "

Algebra.Com's Answer #700284 by Boreal(15235) $\"\"$ $\"About$

You can put this solution on YOUR website!
Distance formula is sqrt (difference between x values)^2+( difference between y values)^2. Show that they are all equal
\n" ); document.write( "A and B:sqrt (4+25)=sqrt (29)
\n" ); document.write( "B and C sqrt (4+25)= sqrt (29)
\n" ); document.write( "C and A sqrt (16+0)=sqrt (16). Not equilateral but isosceles
\n" ); document.write( "------------------------
\n" ); document.write( "Equation of line between the points.
\n" ); document.write( "Slope is change in y /change in x
\n" ); document.write( "=-1/6
\n" ); document.write( "point-slope formula y-y1=m(x-x1), m slope and (x1,y1) point
\n" ); document.write( "y-2=(-1/6)(x-4)
\n" ); document.write( "y-2=(-1/6)x+(2/3)
\n" ); document.write( "y=(-1/6)x+(8/3)
\n" ); document.write( "check with other point
\n" ); document.write( "y-3=(-1/6)(x+2)
\n" ); document.write( "y-3+(-1/6)x-(1/3)
\n" ); document.write( "y=(-1/6)x+(8/3) \n" ); document.write( "

\n" );