The missing side length is c = 25 units.
Step-by-step explanation:
Step 1:
The given triangle has a 24 unit long adjacent side and a 7 unit long opposite side.
As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
The length of the hypotenuse is given as c units.
Step 2:
According to Pythagoras theorem,
[tex]c^{2} = 24^{2} + 7^{2} = 576 + 49.[/tex]
[tex]c^{2} = 625, c = 25.[/tex]
So the missing length, c of the given triangle is 25 units.
