the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d
a)1:2 b)1:3 c)3:1 d)5:2
answer is (c) i.e. 3:1
Solution: Applying Pythagoras Theorem,
we get, (a+2d)^{2}=a^{2}+(a+d)^{2}
=> a^{2}+4d^{2}+4ad=a^{2}+a^{2}+d^{2}+2ad
=> 3d^{2}+2ad-a^{2}=0
=> (d+a)(3d-a)=0
neglecting (d+a)=0, by solving for (3d-a)=0, we get a:d=3:1