document.write( "Question 1208908: In the diagram to the left, circle with centre O has a radius of 7 cm. Segment AT is tangent to the circle. AO = 25 cm, and AX = XY (this length is labeled m). Find the length of m.
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Algebra.Com's Answer #847430 by mccravyedwin(405)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let z = XT\r\n" );
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document.write( "By the Pythagorean theorem on right triangle ATO\r\n" );
document.write( "\"AT%5E2%2BTO%5E2=AO%5E2\"\r\n" );
document.write( "\"%28AX%2BXT%29%5E2%2BTO%5E2=AO%5E2\"\r\n" );
document.write( "\"%28m%2Bz%29%5E2%2B7%5E2=25%5E2\"\r\n" );
document.write( "\"%28m%2Bz%29%5E2%2B49=625\"\r\n" );
document.write( "\"%28m%2Bz%29%5E2=576\"\r\n" );
document.write( "\"m%2Bz=24\"\r\n" );
document.write( "\"z=24-m\"\r\n" );
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document.write( "By the Pythagorean theorem on right triangle XTO\r\n" );
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document.write( "\"XT%5E2%2BTO%5E2=OX%5E2=%28XY%2BYO%29%5E2\"\r\n" );
document.write( "\"z%5E2%2B7%5E2=%28m%2B7%29%5E2\"\r\n" );
document.write( "\"%2824-m%29%5E2%2B49=%28m%2B7%29%5E2\"\r\n" );
document.write( "\"576-48m%2Bm%5E2%2B49=m%5E2%2B14m%2B49\"\r\n" );
document.write( "\"576-48m=14m\"\r\n" );
document.write( "\"576=62m\"\r\n" );
document.write( "\"527%2F62=m\"\r\n" );
document.write( "\"288%2F31=m\"\r\n" );
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document.write( "Exact value of \"m+=+matrix%281%2C2%2C288%2F31%2C+cm%29\" or about 9.29 cm\r\n" );
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document.write( "Edwin

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