document.write( "Question 78384: Find length x in each triangle. Express your answer in simplified radical form.
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document.write( "Hypotenuse is 12
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document.write( "Leg a is 8
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document.write( "Leg b is x
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document.write( " I came up with x=8.94427 but that is not in simplified radical form is it? \n" );
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Algebra.Com's Answer #56202 by dolly(163)![]() ![]() ![]() 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. \n" ); document.write( " |