document.write( "Question 930767: in the figure triangle abc is an equilateral triangle such that ab=(y+8)cm ac=(x+10)cm and bc= 2(x+y)cm.
\n" ); document.write( "solve x and y \n" ); document.write( "

Algebra.Com's Answer #736789 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The three side lengths are the same: y+8, x+10, and 2(x+y).

\n" ); document.write( "Use the first two expressions to get one variable in terms of the other; then substitute in the third expression and compare it to the second:

\n" ); document.write( " $\"y%2B8=x%2B10\"$
\n" ); document.write( " $\"y+=+x%2B2\"$
\n" ); document.write( " $\"x%2B10+=+2%28x%2B%28x%2B2%29%29\"$
\n" ); document.write( " $\"x%2B10+=+4x%2B4\"$
\n" ); document.write( " $\"6+=+3x\"$
\n" ); document.write( " $\"x+=+2\"$

\n" ); document.write( "x=2; y = x+2 = 4

\n" ); document.write( "The three side lengths are
\n" ); document.write( "y+8 = 4+8 = 12
\n" ); document.write( "x+10 = 2+10 = 12
\n" ); document.write( "2(x+y) = 2(6) = 12 \n" ); document.write( "

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