if a2 and b2 are in the equation that would make c2 a2 rational and when the number is rational thats automatically easy to know the area and square root and thats the key! the questions states the spuare root and area which makes it all easy to know that the correct one is a2 + b2 = c2 a2 + b2 = c2.
tyce is correct because the sides they were given were sides a and c if they were either side of the right angle since c is always the hypotenuse which is opposite the right angle. he followed the steps through correctly and got the right answer. cade used the wrong sides so the answer was wrong.