document.write( "Question 700950: find the area of Triangle ABC where
\n" ); document.write( "a=b=c=12
\n" ); document.write( "

Algebra.Com's Answer #432087 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"Area+=%281%2F2%29%2Ab%2Ah\" where \"b\" is base and \"h\" is height\r
\n" ); document.write( "\n" ); document.write( "if given \"a=b=c=12\", means you have an Equilateral Triangle and base \"b=12\"\r
\n" ); document.write( "\n" ); document.write( "now we need to calculate height \"h\" which could be find using Pythagorean theorem because it divides equilateral triangle into two right angle triangles; so,\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=a%5E2-%28b%2F2%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=12%5E2-%2812%2F2%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=12%5E2-6%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=144-36\"\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2=108\"\r
\n" ); document.write( "\n" ); document.write( "\"h=sqrt%28108%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=10.39\"...we need only positive root because height could be only positive number\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "then, the area will be:\r
\n" ); document.write( "\n" ); document.write( "\"Area+=%281%2F2%29%2A12%2A10.39\"\r
\n" ); document.write( "\n" ); document.write( "\"Area+=6%2A10.39\"\r
\n" ); document.write( "\n" ); document.write( "\"Area+=62.34\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );