If the sides of a right angled triangle be in A. P. , then their ratio will be
3: 4: 5
Let sides be and as it is a right angled triangle (a−d)2+a2=(a+d)2
⇒a2+d2−2ad+a2=a2+d2+2ad
⇒a=4d⇒d=a4.
Hence the sides are 3a4,a,5a4 i.e., in ratio 3 : 4 : 5.