Answer:
25 ft
Step-by-step explanation:
You need to know the Pythagorean Theorem to solve this, which is
   a² + b² = c²   where a, and b are legs, and c is the hypotenuse
The biggest clue is when it tells you that the shorter pieces are 7ft and 24ft. Â In a right triangle, the shorter sides are the legs, and the hypotenuse is ALWAYS the longest side. Â So we can use 7 and 24 for either a or b and solve for c
 7² + 24² = c²    (plug in what you know)
 49 + 576 = c²    (7² is 49, and 24² is 576)
625 = c²        (49 + 576 is 625)
Â
25 = c         (the square root of 625 is 25)