Since, the triangle is right angled.

All the three consecutive sides must satisfy Pythagoras theorem 3, 4 and 5 are the sides of triangle which satisfy Pythagoras theorem.

\( \Large (5^{2}=4^{2}+3^{2}) \)

Area of triangle = \( \Large \frac{1}{2}\times 4\times 3=6cm^{2} \)