document.write( "Question 293358: use a Right triangle, find missing length for a.\r
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Algebra.Com's Answer #211780 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Remember, the Pythagorean Theorem is \"a%5E2%2Bb%5E2=c%5E2\" where \"a\" and \"b\" are the legs of a triangle and \"c\" is the hypotenuse.\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\" Start with the Pythagorean theorem.\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2B10%5E2=15%5E2\" Plug in \"b=10\" and \"c=15\" \r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2B100=15%5E2\" Square \"10\" to get \"100\".\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2B100=225\" Square \"15\" to get \"225\".\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2=225-100\" Subtract \"100\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2=125\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"a=sqrt%28125%29\" Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).\r
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\n" ); document.write( "\n" ); document.write( "\"a=5%2Asqrt%285%29\" Simplify the square root.
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"a=5%2Asqrt%285%29\" (which approximates to \"a=11.18\")
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