document.write( "Question 1067027: Prove that the ratio of the areas of 2 similar triangles is equal to the square of the ratio of thier corresponding sides. \n" ); document.write( "

Algebra.Com's Answer #682229 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Lets say triangle A is similar to triangle B…\r\n" );
document.write( "\r\n" );
document.write( "A has sides  a,b,c, and height h\r\n" );
document.write( "B has corresponding sides d,e,f, and height g\r\n" );
document.write( "\r\n" );
document.write( "Area of A =  (1/2)(a)(h) \r\n" );
document.write( "\r\n" );
document.write( "Area of B = (1/2)(d)(g)\r\n" );
document.write( "\r\n" );
document.write( "There is a scale factor s that relates a to d, b to e, c to f, and h to g\r\n" );
document.write( "\r\n" );
document.write( "        a = s*d\r\n" );
document.write( "        b = s*e\r\n" );
document.write( "        c = s*f\r\n" );
document.write( "        h = s*g\r\n" );
document.write( "\r\n" );
document.write( "       So area of A can be re-written as    \r\n" );
document.write( "             \r\n" );
document.write( "\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );