Question

The three side lengths of a triangle are x, x + 5, and x + 11. If the sides of the triangle have integral length, what is the minimum value of x?

Answer 1

Answer:

Let the sides be (a−d),a,(a+d)

Given: Δ is right-angled

∴(a−d)

2

+a

2

=(a+d)

2

⇒a

2

−2ad+d

2

+a

2

=a

2

+2ad+d

2

⇒a

2

=4ad

∴a=4d

∴Sides=3d,4d,5d

∴ Given options should be divisible by 3 or 4 or 5

81 divisible by 3.

(Ans→C)