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Let 'a' be the length of a side of the triangle. a∈Ζ.
∵The sides are in A.P.
∴The sides are: (a-d),a,(a+d).
By Pythagoras's theorem,

(a-d)² + a² = (a+d) ²
Solving, we get,
∵ The sides of the triangle has integral length. ∴ d∈Ζ.
∴ The sides are 3d,4d,5d. d∈Z.(Putting a=4d). (Ans.)
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