The triangle has an area of 2500 m2. The sides are in the ratio 5:10:11. Find the following
\n" );
document.write( "a) Length of the longest side.
\n" );
document.write( "b) Length of the median to the shortest side.
\n" );
document.write( "c) Length of altitude to the longest side
\n" );
document.write( "d) Radius of the incircle)
\n" );
document.write( "e) Radius of the circumcircle
\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "\r\n" );
document.write( "From the condition, the sides are a = 5x, b = 10x and c = 11x units long.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Apply the Heron's formula for the area of a triangle.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Semi-perimeter is s = 
= 13x.\r\n" );
document.write( "\r\n" );
document.write( " s - a = 13x - 5x = 8x\r\n" );
document.write( "\r\n" );
document.write( " s - b = 13x - 10x = 3x\r\n" );
document.write( "\r\n" );
document.write( " s - c = 13x - 11x = 2x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "According to the Heron's formula, the area of the triangle is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " area = 
= 
= 
.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the \"area\" equation to find x is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " = 2500.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the equation, x^2 = 
; x = 
.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, the sides are a = 5x = 
; \r\n" );
document.write( "\r\n" );
document.write( " b = 10x = 
;\r\n" );
document.write( "\r\n" );
document.write( " c = 11x = 
.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The longest side is c = 11x = . <<<---=== It is the ANSWER to question (a).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Find the altitude 
drawn to this side from the area equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " 
= 2500, \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "which gives \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " = 
= 
. <<<---=== It is the ANSWER to question (c).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The radius of the incircle (inscribed circle) is\r\n" );
document.write( "\r\n" );
document.write( " r = 
= 
= 
= 
. <<<---=== It is the ANSWER to question (d).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The radius of the circumscribed circle is\r\n" );
document.write( "\r\n" );
document.write( " R = 
,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and you just have EVERYTHING from me to complete this calculation ON YOUR OWN.\r\n" );
document.write( "
\r
\n" );
document.write( "\n" );
document.write( "------------\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "PLEASE next time do not place so many assignments/questions into one post.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "It ALWAYS works against your own interests.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "![\"\"](\"/images/stars/stars-13.gif\")
