document.write( "Question 309456: If c is the measure of the hypothenuse, find the missing measure. Round to the nearest tenth, if necessary.
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document.write( "a=?
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document.write( "b=16
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document.write( "c=43 \n" );
document.write( "
Algebra.Com's Answer #221318 by Theo(13342)![]() ![]() You can put this solution on YOUR website! If c is the hypotenuse of a right triangle, then a and b are the legs.\r \n" ); document.write( "\n" ); document.write( "The pythagorean formula states that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c^2 = a^2 + b^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If c = 43 and b = 16 then this formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "43^2 = a^2 + 16^2 which becomes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1849 = a^2 + 256\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 256 from both sides of the equation to get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1593 = a^2\r \n" ); document.write( "\n" ); document.write( "Take the square root of both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "39.91240409 = a\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To confirm, plug this in the original pythagorean formula of:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c^2 = a^2 + b^2 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "43^2 = 39.91240409^2 + 16^2 which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1849 = 1593 + 256 which becomes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1849 = 1849 confirming that the value of a is good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |