Solve right triangle with legs 3 and 4

Step-by-step solution

1. Identify the legs of the right triangle: $a = 3$ and $b = 4$.

2. Apply the Pythagorean theorem: $a^2 + b^2 = c^2$, where $c$ is the hypotenuse.

3. Substitute the known values: $3^2 + 4^2 = c^2$.

4. Compute the squares: $9 + 16 = c^2$, so $c^2 = 25$.

5. Take the positive square root (length is positive): $c = 5$.

6. The triangle 3-4-5 is the smallest Pythagorean triple — common in homework and standardised tests.