document.write( "Question 1190315: A triangle has sides 33, 56, and 65. What is the length of the altitude to the longest side using similar triangles only? \n" ); document.write( "
Algebra.Com's Answer #821937 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "The given triangle is a right-angled, since 33^2 + 56^2 = 4225 = 65^2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The simplest way to find the altitude in this case is to use two different expressions for the triangle area.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "They will lead you to the final formula instantly\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " the altitude =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "May be, other tutors will solve the problem in a way as requested in the post.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But the way shown in my post is the simplest, shortest and the most straightforward.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |