Question

Pythagorean triples are given by these formulas:

(x^2 - y^2, 2xy, x^2 + y^2)

The length of one leg of a right triangle is 28. The lengths of the other sides are odd numbers. Which of these numbers could be the length of the hypotenuse? Choose all that apply.

45
53
65
195
197

Answer 1

197 and 53

Explanation:

Odyssey marked it as correct.

Answer 2

one could be 53 because 53^2 = 28^2 + 45^2

45 and 65 are not possibe because the other leg isnt a whole number. Same or 195
197 could be because 197^2 = 195^2 + 28^2