document.write( "Question 1171406: Three points, A, B and C are plotted on the Cartesian plane and connected to form a triangle. Point A is
\n" ); document.write( "on the x-axis at -4, point B is (-1, -6) and point C is (4, 4). Is this triangle a right triangle with the
\n" ); document.write( "hypotenuse being formed by the line that connects B and C? Explain why or why not. Algebraically
\n" ); document.write( "show your work to determine this. (You do not graph these points) \n" ); document.write( "
Algebra.Com's Answer #798444 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Three points, A, B and C are plotted on the Cartesian plane and connected to
\n" ); document.write( "form a triangle. Point A is on the x-axis at -4, point B is (-1, -6) and point
\n" ); document.write( "C is (4, 4). Is this triangle a right triangle with the hypotenuse being formed
\n" ); document.write( "by the line that connects B and C? Explain why or why not. Algebraically show
\n" ); document.write( "your work to determine this. (You do not graph these points)
\n" ); document.write( "
\r\n" );
document.write( "There are two ways to show this.\r\n" );
document.write( "\r\n" );
document.write( "The easy way is to use the slope formula to show that the slope of AC is 1/2,\r\n" );
document.write( "and the slope of AB is -2, and they are perpendicular because the product of\r\n" );
document.write( "their slopes is -1 (They are negative reciprocals).\r\n" );
document.write( "\r\n" );
document.write( "The harder way is to use the distance formula to find the three sides\r\n" );
document.write( "\r\n" );
document.write( "Then show that  AC2 + AB2 = BC2\r\n" );
document.write( "               80  +  45 = 125 \r\n" );
document.write( "\r\n" );
document.write( "Then it is a right triangle by the converse of the Pythagorean theorem.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );