Solve right triangle with legs 6 and 8

Step-by-step solution

1. Identify the legs: $a = 6$, $b = 8$.

2. Apply Pythagorean theorem: $a^2 + b^2 = c^2$.

3. Substitute: $6^2 + 8^2 = c^2$, so $36 + 64 = c^2$, i.e. $c^2 = 100$.

4. Take positive square root: $c = 10$.

5. Note: $(6, 8, 10)$ is just the $(3, 4, 5)$ triple scaled by $2$ — all $(3k, 4k, 5k)$ are right triangles.