document.write( "Question 1014934: can you explain pythagorean theorem, step by step thanks
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document.write( "a=8
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document.write( "b=?
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document.write( "c=2rad97 \n" );
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Algebra.Com's Answer #631247 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the pythagorean theorem is normally stated as c^2 = a^2 + b^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a is one leg of a right triangle. \n" ); document.write( "b is the other leg of the right triangle. \n" ); document.write( "c is the hyopenuse of the right triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given that a = 8, b = ? c = 2rad97 which i assume is 2 * sqrt(97).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the equation of c^2 = a^2 + b^2, you can solve for b to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b^2 = c^2 - a^2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you know the value of a and you know the value of c, so you can replace a and c in the formula with those values to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b^2 = (2 * sqrt(97))^2 - 8^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify this to get b^2 = 388 - 64\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify further to get b^2 = 324\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take the square root of both sides of this equation to get b = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your triangle now becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a=8 \n" ); document.write( "b=18 \n" ); document.write( "c=2rad97\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if this is true, then c^2 must be equal to a^2 + b^2 because pythagorus proved that it had to be way back in the days of ancient greece.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so (2 * sqrt(97))^2 must be equal to 8^2 + 18^2 if we calculated b correctly.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8^2 + 18^2 = 64 + 324 = 388\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2 * sqrt(97))^2 is also equal to 388.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation is confirmed to be true and your solution is that the value of b is 18.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's a reference regarding the pythagorean theorem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.mathsisfun.com/pythagoras.html\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |