The right triangle hypothesis is 13 cm one of the boats is 7 cm larger than the other find the right triangle catheters.

Let one leg be x, then the second is x + 7
By the Pythagorean theorem:
x2 + (x + 7) 2 = 13 ^ 2
x2 + x2 + 14x + 49 = 169;
2×2 + 14x – 120 = 0;
x2 + 7x – 60 = 0;
D = 49 + 240 = 17 ^ 2;
x = (-7 + 17) / 2 = 5 (the second root does not fit, since the length cannot be negative)
The second leg is 5 + 7 = 12
Answer: 5 and 12 cm