Let n,n+1 and n+2 be the three consecutive sides of a right-angled triangle. (n+2)2=(n+1)2+n2 ⇒n2+4n+4=2n2+2n+1 ⇒n2−2n−3=0 ⇒(n−3)(n+1)=0 ⇒n=3,−1 But, n cannot be negative. So, n = 3. Thus, the sides of the triangle are 3 cm, 4 cm and 5 cm. Area of the triangle =