Answer: 5 and 7 (See the figure attached).
Step-by-step explanation:
You need to remember that the slope can be calculated with this formula:
[tex]slope=\frac{rise}{run}[/tex]
Where the "rise" is the vertical distance of the triangle and the "run" is the horizontal distance of the triangle.
You know that the incline of this triangle has a slope of [tex]\frac{5}{7}[/tex], then you can say that the "rise" is 5 and the "run" is 7:
[tex]slope=\frac{rise}{run}=\frac{5}{7}[/tex]
Therefore, the possible measurements for the two legs of the right triangle are: 5 and 7 (Observe the figure attached).
