document.write( "Question 1130869: The figure shows an equilateral triangle with its sides as indicated. Find the length of each side of the triangle
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Algebra.Com's Answer #747486 by ikleyn(52798) $\"\"$ $\"About$

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document.write( "Since the triangle is equilateral, the three sides have equal lengths.\r\n" );
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document.write( "It gives you this system of two equations in two unknowns:\r\n" );
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document.write( "2x - 7 = x + y - 9    (1)\r\n" );
document.write( "2x - 7 = y + 5        (2)\r\n" );
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document.write( "Simplify by collecting the unknown variables on the left side and the constant terms on the right\r\n" );
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document.write( " x - y = -2           (1')\r\n" );
document.write( "2x - y = 12           (2')\r\n" );
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document.write( "To solve the system, apply the Elimination method.\r\n" );
document.write( "For it, subtract equation (1') from equation (2').  Then the \" y \" terms will cancel each other, and you will obtain \r\n" );
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document.write( "2x - x = 12 - (-2),     or\r\n" );
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document.write( "x = 14.\r\n" );
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document.write( "Now you can calculate the side length as  (2x-7) = 2*14 - 7 = 21.\r\n" );
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document.write( "Answer.  Each side of the given equilateral triangle is 21 units long.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Different methods of solution are available and applicable to solve this problem, depending on your level in Math.\r
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