document.write( "Question 404138: How would I find the hypotenuse of a triangle if a=5 and b=12?
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document.write( "It tells me the answer is 13 but I don't understand how..
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Algebra.Com's Answer #285647 by Algebra2you(12)![]() ![]() You can put this solution on YOUR website! Remember, the Pythagorean theorem states that a²+b²=c². \n" ); document.write( "a and b are the legs. The order doesn't matter. c is the hypotenuse, or the side opposite the right angle. It is also the longest side in a triangle. \n" ); document.write( "So let's substitute a=5 and b=12 into the Pythagorean theorem and solve for c, the hypotenuse. \n" ); document.write( "5²+12²=c² \n" ); document.write( "25+144=c² Simplify squares. \n" ); document.write( "169=c² Add like terms. \n" ); document.write( "√169=√c² Take the square root of both sides to isolate the c. \n" ); document.write( "13=c Simplify \n" ); document.write( "So c, or the hypotenuse, is 13 :) \n" ); document.write( " |