# Do the following sets of sides of a triangle satisfy the Pythagorean Theorem: 4,5,7?

With a right triangle the hypotenuse is always the longest side. So the relation to satisfy is . ${c}^{2} = {a}^{2} + {b}^{2}$.,where c= length of longest side and a,b are the lengths of other two sides However this does not hold good here,since
${7}^{2} > {4}^{2} + {5}^{2}$