document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38300>Question 38300</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the hypotenuse of a triangle is 48 feet. what kind of triangle is it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23778 by </B><A HREF=/tutors/aboutme.mpl?userid=hellyeah><B>hellyeah(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hellyeah><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am not going to do your home work for you but i will give you a hint. \r<BR>\n" );
document.write( "\n" );
document.write( "A right triangle is triangle with an angle of 90 degrees (pi/2 radians). The sides a, b, and c of such a triangle satisfy the Pythagorean theorem<BR>\n" );
document.write( "a^2+b^2==c^2,	(1)\r<BR>\n" );
document.write( "\n" );
document.write( "where the largest side is conventionally denoted c and is called the hypotenuse. The other two sides of lengths a and b are called legs, or sometimes catheti.\r<BR>\n" );
document.write( "\n" );
document.write( "The favorite A-level math exam question of the protagonist Christopher in the novel The Curious Incident of the Dog in the Night-Time asks for proof that a triangle with sides of the form n^2+1, n^2-1, and 2n where n>1 is a right triangle, and that the converse does not hold (Haddon 2003, pp. 214 and 223-226).<BR>\n" );
document.write( "RightTriangle\r<BR>\n" );
document.write( "\n" );
document.write( "The side lengths (a,b,c) of a right triangle form a so-called Pythagorean triple. A triangle that is not a right triangle is sometimes called an oblique triangle. Special cases of the right triangle include the isosceles right triangle (middle figure) and 30-60-90 triangle (right figure).\r<BR>\n" );
document.write( "\n" );
document.write( "For any three similar shapes of area A_i on the sides of a right triangle,<BR>\n" );
document.write( "A_1+A_2==A_3,	(2)\r<BR>\n" );
document.write( "\n" );
document.write( "which is equivalent to the Pythagorean theorem.\r<BR>\n" );
document.write( "\n" );
document.write( "For a right triangle with sides a, b, and hypotenuse c, the area is simply<BR>\n" );
document.write( "A==1/2ab. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );