document.write( "Question 770374: The length of the major axis of the ellipse below is 11, and the length of the red line segment is 4. How long is the blue line segment?\r
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Algebra.Com's Answer #469485 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I'm trying to read your mind.  \r\n" );
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document.write( "I will guess that the red line is the semi-minor-axis, b.\r\n" );
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document.write( "I will guess that the blue line you want to find connects the top\r\n" );
document.write( "(co-vertex) to a focal point (or focus).  \r\n" );
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document.write( "The semi-major axis is \"1%2F2\" of the major axis, a, so a = \"11%2F2\".\r\n" );
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document.write( "First we find c, which is the distance from the center to the focus.\r\n" );
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document.write( "All elipses have the property\r\n" );
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document.write( "c² = a² - b²\r\n" );
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document.write( "c² = \"%2811%2F2%29%5E2\" - 4²\r\n" );
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document.write( "c² = \"121%2F4\" - 16\r\n" );
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document.write( "c² = \"121%2F4\" - \"64%2F4\"\r\n" );
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document.write( "c² = \"57%2F4\"\r\n" );
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document.write( "By the Pythagorean theorem,\r\n" );
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document.write( "(blue line)² = c² + b²\r\n" );
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document.write( "(blue line)² = \"57%2F4\" + 4²\r\n" );
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document.write( "(blue line)² = \"57%2F4\" + \"16\"\r\n" );
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document.write( "(blue line)² = \"57%2F4\" + \"64%2F4\"\r\n" );
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document.write( "(blue line)² = \"%2857%2B64%29%2F4\"\r\n" );
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document.write( "(blue line)² = \"121%2F4\"\r\n" );
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document.write( "blue line = \"sqtr%28121%2F4%29\"\r\n" );
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document.write( "blue line = \"11%2F2\"\r\n" );
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document.write( "So the blue line is equal to the semi-major axis.\r\n" );
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document.write( "Edwin
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