Question

If the sides of a right angled triangle are in A.P., the ratio of the sides are:

• A. 1:2:3
• B. 3:4:5
• C. 2:3:4
• D. None

Answer 1

The correct option is B

3:4:5

Let sides are a-d,a,a+d,d>0

Then ${(a+d)}^2$ = $a^2$+${(a-d)}^2$

⇒ $a^2$=4ad i.e., a=4d (a≠0).

∴ sides are 3d, 4d, 5d

⇒ ratio of sides are 3:4:5.