document.write( "Question 870657: Dear Math Tutor,\r
\n" ); document.write( "\n" ); document.write( "A triangle is formed by the points A(-1,3), B(5,7 and C(0,8)
\n" ); document.write( "(a) show that angle ACB is a right angle
\n" ); document.write( "(b) Find the coordinates of the point where the line through B parallel to AC cuts the x-axis.\r
\n" ); document.write( "\n" ); document.write( "Would greatly appreciate your help.\r
\n" ); document.write( "\n" ); document.write( "With gratitude,
\n" ); document.write( "Nats\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #525038 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
A(-1,3), B(5,7 and C(0,8)
\n" ); document.write( "are the vertices of right triangle\r
\n" ); document.write( "\n" ); document.write( "so their lengths follow Pythagorean principle\r
\n" ); document.write( "\n" ); document.write( "Sum of square of two sides = square of the third side
\n" ); document.write( "find AB , BC, CA by using distance formula\r
\n" ); document.write( "\n" ); document.write( "d(AB)
\n" ); document.write( "Distance between two points A & B
\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "
\n" ); document.write( "-1 3 5 7
\n" ); document.write( "d= \"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"
\n" ); document.write( "d= \"sqrt%28%28%09%097%09-%093%09%29%5E2%09%2B%09%28%095%09-%09-1%09%29%5E2%09%29\"
\n" ); document.write( "d= \"sqrt%28%28%09%094%09%29%5E2%09%2B%09%28%096%09%29%5E2%09%29\"
\n" ); document.write( "d= \"sqrt%28%28%09%0952%09%29++%09%29\"
\n" ); document.write( "d= 7.21 \r
\n" ); document.write( "\n" ); document.write( "d(B,C) \r
\n" ); document.write( "\n" ); document.write( "Distance between two points B&C
\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "
\n" ); document.write( "5 7 0 8
\n" ); document.write( "d= \"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"
\n" ); document.write( "d= \"sqrt%28%28%09%098%09-%097%09%29%5E2%09%2B%09%28%090%09-%095%09%29%5E2%09%29\"
\n" ); document.write( "d= \"sqrt%28%28%09%091%09%29%5E2%09%2B%09%28%09-5%09%29%5E2%09%29\"
\n" ); document.write( "d= \"sqrt%28%28%09%0926%09%29++%09%29\"
\n" ); document.write( "d= 5.10 \r
\n" ); document.write( "\n" ); document.write( "d(A,C)\r
\n" ); document.write( "\n" ); document.write( "Distance between two points A&C
\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "
\n" ); document.write( "-1 3 0 8
\n" ); document.write( "d= \"sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29\"
\n" ); document.write( "d= \"sqrt%28%28%09%098%09-%093%09%29%5E2%09%2B%09%28%090%09-%09-1%09%29%5E2%09%29\"
\n" ); document.write( "d= \"sqrt%28%28%09%095%09%29%5E2%09%2B%09%28%091%09%29%5E2%09%29\"
\n" ); document.write( "d= \"sqrt%28%28%09%0926%09%29++%09%29\"
\n" ); document.write( "d= 5.10 \r
\n" ); document.write( "\n" ); document.write( "(5.10)^2+5.10)^^2=52.02
\n" ); document.write( " (7.2)^2= 51.98\r
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