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(C) Let the sides of the right-angled triangle be $(a-d)$,$a$,and $(a+d)$ where $d > 0$.Since it is a right-angled triangle,by the Pythagorean theorem

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$3 : 4 : 5$

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(C) Let the sides of the right-angled triangle be $(a-d)$,$a$,and $(a+d)$ where $d > 0$.Since it is a right-angled triangle,by the Pythagorean theorem,we have $(a-d)^2 + a^2 = (a+d)^2$.Expanding the terms: $a^2 - 2ad + d^2 + a^2 = a^2 + 2ad + d^2$.Simplifying the equation: $a^2 - 4ad = 0$.Since $a 
eq 0$,we get $a = 4d$.Substituting $a = 4d$ into the sides: $(4d-d)$,$4d$,$(4d+d)$,which gives $3d$,$4d$,$5d$.Thus,the ratio of the sides is $3 : 4 : 5$.

If the sides of a right-angled triangle are in an arithmetic progression,then they are in the ratio of.........

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