Question

If the sides of a right angled triangle are three con-
secutive integers, then the length of the smallest side is?​

Answer 1

Answer:

3

Step-by-step explanation:

Let the length of three sides of the right angled triangle be x, x+1 & x+2

Then, x+2 is the hypotenuse of the right angled triangle.

ACCORDING TO THE QUESTION

(x)^2+(x+1)^2=(x+2)^2 {PYTHAGORAS THEOREM)

Or, √x^2+x^2+1=x^2+4

Or, 2x^2+1=x^2+4

Or, 2x+1=x+4

Or, 2x-x=4-1

Or, x=3

Hence, the length of the smallest side is 3

PLEASE MARK ME AS BRAINLIEST