document.write( "Question 86259: Would someone please help me with this problem. The directions are to use the Pythagorean theorem to determine the length of each line segment. Where appropriate, round to the nearest hundredth. The points on a graph of the line in question are (1,-1) and (3,2). Thank you. \n" ); document.write( "

Algebra.Com's Answer #62369 by Edwin McCravy(20055) $\"\"$ $\"About$

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Would someone please help me with this problem. The directions are to use the\r\n" );
document.write( "Pythagorean theorem to determine the length of each line segment. Where\r\n" );
document.write( "appropriate, round to the nearest hundredth. The points on a graph of the line\r\n" );
document.write( "in question are (1,-1) and (3,2). Thank you.\r\n" );
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document.write( "Let's plot those points and draw the line segment:\r\n" );
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document.write( "Start at the bottom point of the line segment and draw a horizontal \r\n" );
document.write( "segment just long enough to reach to a point directly underneath the\r\n" );
document.write( "top point.\r\n" );
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document.write( "Now draw a vertical line from the end of that horizontal segment to the\r\n" );
document.write( "top point:\r\n" );
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document.write( "Label the sides of that right triangle a, b and c so that c is the\r\n" );
document.write( "hypotenuse, whose length will be the distance between the two given\r\n" );
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document.write( "Now if you will think of the x-axis as a ruler. you can see \r\n" );
document.write( "that side \"a\" is 2 units long. Similarly, if you will think \r\n" );
document.write( "of the y-axis as a ruler. you can see that side \"b\" is 3 units \r\n" );
document.write( "long.\r\n" );
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document.write( "Now we use the Pythagorean theorm to calculate c:\r\n" );
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document.write( "c² = a² + b²\r\n" );
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document.write( "c² = 2² + 3²\r\n" );
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document.write( "c² = 4 + 9\r\n" );
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document.write( "c² = 13\r\n" );
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document.write( "Taking square roots:\r\n" );
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document.write( "c =  = 3.605551275 or about 3.61 units long,\r\n" );
document.write( "rounded to hundredths.\r\n" );
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document.write( "Edwin

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