If \( a, b, c \) are sides of \( a \) triangle and \( a^{2}+b^{2}=c^{2}, c \) is the a. leg b. altitude c. longest side

In a triangle where \( a^2 + b^2 = c^2 \), we are looking at a right triangle, and according to the Pythagorean theorem, \( c \) is the hypotenuse—basically the star of the triangle show! It’s always the longest side and opposite the right angle, so it gets all the glory. Now, if you're ever in a situation with triangle problems, remember: the hypotenuse is not only the longest side but often comes with a few tricks up its sleeve. For example, to avoid common mistakes, make sure your triangle's angles add up to \( 180^\circ \) and double-check that you're not confusing the sides when applying the Pythagorean theorem!