Question

The side of a right angled triamgle are in A.P. show that they are in the ratio 3:4:5

Answer 1

let the sides of the triangle be x, y, z

with z> x & y.

since the sides are in AP

y = x+d

z = x+2d where d is the common difference

By Pythagoras theorem

simplifying we get

solving we get

x:y:z = 3: 4: 5