What are the sides of a 45 45 90 triangle if the hypotenuse is 14?

A45-45-90 triangle is an isosceles right triangle. therefore, the two legs are equal. if we let "a" represent the length of both legs and "c" represent the hypotenuse, then by the pythagorean theorem:   a² + a² = c²        2a² = c²solving for a  a² = c²/2  a  =  √(c²/2) ignore the negative rootsince c = 14, we substitute in for c and evaluate  a  =  √(14²/2)       =  √(98)       =  √(49  · 2) simplify the radical      =  √(49)  ·  √(2)      = 7√2the sides of this triangle are, from smallest to greatest, 7√2, 7√2, and 14.the legs have identical lengths of 7√2 and the hypotenuse is 14.