document.write( "Question 78384: Find length x in each triangle. Express your answer in simplified radical form.
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\n" ); document.write( "Hypotenuse is 12
\n" ); document.write( "Leg a is 8
\n" ); document.write( "Leg b is x
\n" ); document.write( " I came up with x=8.94427 but that is not in simplified radical form is it?
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Algebra.Com's Answer #56202 by dolly(163)\"\" \"About 
You can put this solution on YOUR website!
Here hypotenuse = 12
\n" ); document.write( "one leg = 8
\n" ); document.write( "the other leg = sqrt(12^2 - 8^2) [by Pythagorean theorem]
\n" ); document.write( " = sqrt(144 - 64)
\n" ); document.write( " = sqrt(80)
\n" ); document.write( " = sqrt(16*5)
\n" ); document.write( " = sqrt(16) * sqrt(5)
\n" ); document.write( " = 4 * sqrt(5)
\n" ); document.write( "Thus leg b = 4sqrt(5)which is in simplified radical form.
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