Answer:
- hypotenuse: 26 ft
- other leg: 24 ft
Explanation:
This is a 5-12-13 right triangle scaled by a factor of 2 feet. (It helps to know some Pythagorean triples commonly used in algebra problems.)
The two longer sides are 24 feet and 26 feet.
___
You can let x represent the length of the hypotenuse. Then you have ...
x² = (x -2)² + 10²
0 = -4x +104 . . . . . subtract x² and simplify
x = 26 . . . . . . . . . . divide by 4, add x
The hypotenuse is 26; the other leg is 24.