Question

The shortest side of a right triangle measures 7m. The lengths of the other two sides are consecutive integers. Find the lengths of the other two sides

Answer 1

Use the special triangles ratio.
 If it is a 45-45-90 triangle, the sides are $7 \sqrt{2}$ and 7

I think it is a 30-60-90 triangle though. This gets you 14 and $7 \sqrt{3}$
 

Answer 2

A² + b² = c²

let a = 7
let b = x
let c = x + 1

(x + 1)² = x² + 2x + 1 

49 + x² = x² + 2x + 1 

48 = 2x

x = 24

the length of the remaining sides should be 24m and 25m.