document.write( "Question 322502: a triangle, STR ... s=(-4,7) t= (4,7)r=(0,1), and they're asking me to write an equation that contains the median of triangle RST from S to side RT. HELP!!!!!!!!!!!!!!!!!!!!!!!!! \n" ); document.write( "
Algebra.Com's Answer #230885 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "A median is a line segment drawn from a vertex to the midpoint of\r\n" );
document.write( "the opposite side. \r\n" );
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document.write( "So first let's find the midpoint of the side RT, using the\r\n" );
document.write( "midpoint formula:\r\n" );
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document.write( "\"midpoint\"\"%22%22=%22%22\"\"%22%28%22\"\"%28x%5B1%5D%2Bx%5B2%5D%29%2F2\"\"%22%2C%22\"\"%28y%5B1%5D%2By%5B2%5D%29%2F2\"\"%22%29%22\"\"%22%22=%22%22\"\"%22%28%22\"\"%280%2B4%29%2F2\"\"%22%2C%22\"\"%281%2B7%29%2F2\"\"%22%29%22\"\"%22%22=%22%22\"\"%22%28%22\"\"4%2F2\"\"%22%2C%22\"\"8%2F2\"\"%22%29%22\"\"%22%22=%22%22\"\"%22%28%22\"\"2\"\"%22%2C%22\"\"4\"\"%22%29%22\" \r\n" );
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document.write( "Let's call that point M for \"Midpoint\". So we plot M(2,4):\r\n" );
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document.write( "Now we draw the line segment SM, which is the median. I'll draw it\r\n" );
document.write( "in red:\r\n" );
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document.write( "and we want to find the equation of the line that contains that median.\r\n" );
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document.write( "That is, we want to find the equation of the line through the points \r\n" );
document.write( "S(-4,7) and M(2,4).  That's the red line:\r\n" );
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document.write( "Use the slope formula: \r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\"%22%22=%22%22\"\"%28%284%29-%287%29%29%2F%28%282%29-%28-4%29%29\"\"%22%22=%22%22\"\"%28-3%29%2F%282%2B4%29\"\"%22%22=%22%22\"\"%28-3%29%2F6\"\"%22%22=%22%22\"\"-1%2F2\"\r\n" );
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document.write( "Use the point-slope formula:\r\n" );
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document.write( "\"y-y%5B1%5D\"\"%22%22=%22%22\"\"m%28x-x%5B1%5D%29\"\r\n" );
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document.write( "\"y-7\"\"%22%22=%22%22\"\"-1%2F2\"\"%28x%2B4%29\"\r\n" );
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document.write( "\"y-7\"\"%22%22=%22%22\"\"-1%2F2\"\"x\"\"%22%22-%22%22\"\"2%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-1%2F2\"\"x\"\"%22%22%2B%22%22\"\"5%29\"\r\n" );
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document.write( "Edwin
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