document.write( "Question 254895: Use a coordinate grid to plot ΔABC with vertices having coordinates A(2,6), B(18,2), C(12,12). Is this isosceles, right or equilateral? Where is the midpoint of AB? \n" ); document.write( "
Algebra.Com's Answer #187191 by CharlesG2(834)    ![]() You can put this solution on YOUR website! Use a coordinate grid to plot ΔABC with vertices having coordinates A(2,6), B(18,2), C(12,12). Is this isosceles, right or equilateral? Where is the midpoint of AB?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "distance = sqrt((x2-x1)^2+(y2-y1)^2) \n" ); document.write( "AB=sqrt((18-2)^2+(2-6)^2)=sqrt(16^2+(-4)^2)=sqrt(256+16)=sqrt(272)=16.49 \n" ); document.write( "BC=sqrt((12-18)^2+(12-2)^2)=sqrt((-6)^2+10^2)=sqrt(36+100)=sqrt(136)=11.66 \n" ); document.write( "CA=sqrt((2-12)^2+(6-12)^2)=sqrt((-10)^2+(-6)^2)=sqrt(100+36)=sqrt(136)=11.66\r \n" ); document.write( "\n" ); document.write( "not equilateral \n" ); document.write( "is isosceles\r \n" ); document.write( "\n" ); document.write( "right triangle would have AB=sqrt(BC^2+CA^2) \n" ); document.write( "sqrt(BC^2+CA^2)=sqrt(136+136)=sqrt(272)=AB\r \n" ); document.write( "\n" ); document.write( "it is isosceles and a right triangle \n" ); document.write( " \n" ); document.write( "  |