Answer:
Below in BOLD.
Explanation:
1. x^2 = 3^2 + 6^2
x^2 = 9 + 36 = 45
x = √45
x = 3√5.
2. 15^2 = x^2 + 12^2
x^2 = 15^2 - 12^2 = 225 - 144 = 81
x = 9.
9, 10 and 15 are Pythagorean triplets.
3. x^2 = 10^2 - 6^2 = 64
x = 8.
6, 8 and 10 are Pythagorean triplets.