document.write( "Question 1111188: The sum of the x-coordinates of the vertices of a triangle in the Cartesian plane equals 10. Find the sum of the x-coordinates of the midpoints of the sides of the triangle. \n" ); document.write( "

Algebra.Com's Answer #726189 by ikleyn(52805) $\"\"$ $\"About$

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document.write( "Let  a, b and c  be x-coordinates of the three vertices.\r\n" );
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document.write( "You are given that  a + b + c = 10.\r\n" );
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document.write( "Midpoints have x-coordinates 0.5(a+b), 0.5(a+c) and 0.5(b+c).\r\n" );
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document.write( "When you add them, you will get\r\n" );
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document.write( "0.5(a+b) + 0.5(a+c) + 0.5(b+c) = a + b + c = 10,\r\n" );
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document.write( "i.e. the same 10 units as your answer.\r\n" );
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