document.write( "Question 1082805: A triangle ABC has vertices
\n" ); document.write( "A(1,3) ; B(1,-2) and C(-4,-2) :
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\n" ); document.write( "A. d(B;C) = \"sqrt%2841%29\"
\n" ); document.write( "B. ∠C = 90°
\n" ); document.write( "C. The midpoint of the hypotenuse is (-3/2, 1/2)\r
\n" ); document.write( "\n" ); document.write( "please assist im stuck as to how to work it out \n" ); document.write( "
Algebra.Com's Answer #696855 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "First you draw the triangle on graph paper:\r\n" );
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document.write( "Then we check out each answer:\r\n" );
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\n" ); document.write( "A. d(B;C) = \"sqrt%2841%29\"
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document.write( "We can just count the blocks from B to C since BC is\r\n" );
document.write( "horizontal and find that the distance from B to C is 5,\r\n" );
document.write( "so if it's 5, it's NOT \"sqrt%2841%29\"\r\n" );
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\n" ); document.write( "B. ∠C = 90°
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document.write( "We can certainly see from the graph that ∠C in NOT 90°,\r\n" );
document.write( "since it is an acute angle much smaller than 90°.  It's\r\n" );
document.write( "∠B that's 90°, not ∠C.\r\n" );
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\n" ); document.write( "C. The midpoint of the hypotenuse is (-3/2, 1/2)
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document.write( "That's the only one left, so it must be the one that's true, \r\n" );
document.write( "since the others are false.  But let's see why anyway.\r\n" );
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document.write( "We use the midpoint formula:\r\n" );
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document.write( "Midpoint = \r\n" );
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document.write( "The hypotenuse is AC, so we substitute:\r\n" );
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document.write( "x1 = x-coordinate of A = 1\r\n" );
document.write( "x2 = x-coordinate of C = -4\r\n" );
document.write( "y1 = y-coordinate of A = 3\r\n" );
document.write( "y2 = y-coordinate of C = -2\r\n" );
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document.write( "Midpoint of AC = \"%28matrix%281%2C3%2C%281%2B%28-4%29%29%2F2%2C+%22%2C%22%2C%283%2B%28-2%29%29%2F2%29%29\"\r\n" );
document.write( "Midpoint of AC = \"%28matrix%281%2C3%2C%28-3%29%2F2%2C+%22%2C%22%2C1%2F2%29%29\"\r\n" );
document.write( "Midpoint of AC = \"%28matrix%281%2C3%2C-3%2F2%2C+%22%2C%22%2C1%2F2%29%29\"\r\n" );
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document.write( "So we see this is the only one that is true.\r\n" );
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document.write( "Edwin

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