document.write( "Question 899047: Please help me! I need to find the coordinates of midpoint P of line segment BC. Then calculate the lengths of AP, BP, and CP. The diagram can be found here: http://i.imgur.com/S7XQH1B.jpg\r
\n" ); document.write( "\n" ); document.write( "Thanks for the help!
\n" ); document.write( "

Algebra.Com's Answer #545184 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
The midpoint is the average of x and y values of the endpoint.
\n" ); document.write( "\"x%5Bm%5D=%28x%5BB%5D%2Bx%5BC%5D%29%2F2\"
\n" ); document.write( "\"x%5Bm%5D=%280%2B2h%29%2F2\"
\n" ); document.write( "\"x%5Bm%5D=h\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"y%5Bm%5D=%28y%5BB%5D%2By%5BC%5D%29%2F2\"
\n" ); document.write( "\"y%5Bm%5D=%282k%2B0%29%2F2\"
\n" ); document.write( "\"y%5Bm%5D=k\"
\n" ); document.write( "(h,k)
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"AP%5E2=%28h-0%29%5E2%2B%28k-0%29%5E2\"
\n" ); document.write( "\"AP%5E2=h%5E2%2Bk%5E2\"
\n" ); document.write( "\"AP=sqrt%28h%5E2%2Bk%5E2%29\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"BP%5E2=%28h-0%29%5E2%2B%28k-2k%29%5E2\"
\n" ); document.write( "\"BP%5E2=h%5E2%2B%28-k%29%5E2\"
\n" ); document.write( "\"BP=sqrt%28h%5E2%2Bk%5E2%29\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"CP%5E2=%28h-2h%29%5E2%2B%28k-0%29%5E2\"
\n" ); document.write( "\"CP%5E2=%28-h%29%5E2%2Bk%5E2\"
\n" ); document.write( "\"CP=sqrt%28h%5E2%2Bk%5E2%29\"
\n" ); document.write( "
\n" );