document.write( "Question 674652: What is the number of square units in the area of a triangle whose sides are 5, 6 and √61. Explain answers in simplest form. (I think it's 21, but i think it's wrong.) \n" ); document.write( "
Algebra.Com's Answer #419373 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
What is the number of square units in the area of a triangle whose sides are 5, 6 and √61. Explain answers in simplest form. (I think it's 21, but i think it's wrong.)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "This is a right triangle because it satisfies the Pythagorean theorem\r\n" );
document.write( "\r\n" );
document.write( "a = 5, b = 6 and c = √61\r\n" );
document.write( "\r\n" );
document.write( "a² + b² = c²\r\n" );
document.write( "5² + 6² = (√61)²\r\n" );
document.write( "25 + 36 = 61\r\n" );
document.write( "     61 = 61\r\n" );
document.write( "\r\n" );
document.write( "Therefore it looks like this:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore its base b = 5 and its height h = 6.  The formula\r\n" );
document.write( "for the area of a triangle is  \r\n" );
document.write( "\r\n" );
document.write( "             A = \"1%2F2\"bh\r\n" );
document.write( "             A = \"1%2F2\"(5)(6)\r\n" );
document.write( "             A = \"1%2F2\"(30)\r\n" );
document.write( "             A = 15 square units.\r\n" );
document.write( "\r\n" );
document.write( "The way to check it is to draw a 5×6 rectangle:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Realize that the triangle above is one-half of its area \r\n" );
document.write( "because if you draw the diagonal it cuts the 5×6 rectangle \r\n" );
document.write( "into two right triangles just exactly like the one above.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and if you tile it off into square units like this:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You can see that there are 30 square units and since the\r\n" );
document.write( "triangle has half as many square units of area as the rectangle,\r\n" );
document.write( "then the triangle must have half of 30 square units of area or 15\r\n" );
document.write( "square units of area.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );