Let the sides of triangle be 3x,4x,5x Perimeter =3x + 4x + 5x=144 cm 12x=144 ∴x=12 Then sides of triangle are 3x=3×12=36 cm, 4x=4×12=48 cm, 5x=5×12=60 cm. Now, Semi perimeter, s=2 Sum of sides of triangle=236+48+60=72 cm Using Heron's formula, Area of triangle =s (s−a)(s−b)(s−c)= 72(72−36)(72−48)(72−60)= 72 × 36 × 24 × 12 = 864 cm2