If the perimeter of the right-angled triangle (x is the opposite side, y is the adjacent side and z is the hypotenuse) is 42cm, and the values of x,y and z form an arithmetic sequence, find the lengths of the sides of the triangle.
Triangle with sides 3, 4 and 5 will be a right-angled triangle. Perimeter is 12.
Now perimeter is 42, that is increased by 3.5 times. Therefore, the 3 sides are
3 x 3.5 = 10.5
4 x 3.5 = 14 and
5 x 3.5 = 17.5 = hypotenuse. And form a A.S.