Let the smallest side of the triangle be x cm long So, second side =(x+4)cm and third side =(2x−6)cm Given, perimeter =50cm Therefore, x+(x+4)+(2x−6)=50 ⇒4x=52 ⇒x=13cm So, first side of the triangle is 13cm, second side be 17cm and third side is 20cm. Now, semi-perimeter of the triangle =213+17+20=25cm Therefore, area of Δ=s(s−a)(s−b)(s−c)=25(25−13)(25−17)(25−20)=25×12×8×5= 2030cm2