document.write( "Question 1034938: In a triangle ABC DE||BC area of triangle ADE=16cm² DE= 4cm BC=6cm. Find area of triangle ABC
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #649569 by ikleyn(52817)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "In a triangle ABC DE||BC area of triangle ADE=16cm² DE= 4cm BC=6cm. Find area of triangle ABC
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "The triangles ABC and ADE are similar with the corresponding sides ratio of \"4%2F6\" = \"2%2F3\".\r\n" );
document.write( "\r\n" );
document.write( "Then the areas ratio is \"%282%2F3%29%5E2\" = \"4%2F9\".\r\n" );
document.write( "\r\n" );
document.write( "Hence, the area of the triangle ABC is \"9%2F4\" times the area of the triangle ADE, i.e. \"%289%2F4%29%2A16\" = 36 \"cm%5E2\".\r\n" );
document.write( "

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