document.write( "Question 1186161: 5xcm, 4ycm and (x + y +a)cm are lengths of the sides of an aquilateral triangle given in terms of x and y. Find x and y \n" ); document.write( "

Algebra.Com's Answer #817037 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "5x cm, 4y cm and (x + y +a) cm are lengths of the sides of an $\"cross%28aquilateral%29\"$ equilateral triangle
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document.write( "Since the triangle is equilateral, we have these equations\r\n" );
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document.write( "    5x = 4y            (1)\r\n" );
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document.write( "and\r\n" );
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document.write( "    5x = x + y + a,    (2)\r\n" );
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document.write( "The last equation is equivalent to\r\n" );
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document.write( "    4x = y + a         (3)\r\n" );
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document.write( "From equation (1), we have  y =  = 1.25x.\r\n" );
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document.write( "Substituting it into equation (3), we get\r\n" );
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document.write( "    4x = 1.25x + a\r\n" );
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document.write( "     2.75x = a\r\n" );
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document.write( "         x =   =  = .\r\n" );
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document.write( "Then from y = 1.25x,  we have  y =  = .\r\n" );
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document.write( "ANSWER.   x = ;  y = .\r\n" );
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