So for this, you'll be using the pythagorean theorem, which is [tex] leg^2+leg^2=hypotenuse^2 [/tex] . In this case, 10 and 24 are the legs, and AB is the hypotenuse. Our equation will be [tex] 10^2+24^2=AB^2 [/tex]
Firstly, solve the exponents: [tex] 100+576=AB^2 [/tex]
Next, combine 100 and 576: [tex] 676=AB^2 [/tex]
And lastly, square root both sides to get [tex] 26=AB [/tex]
And in short, Line AB is 26 ft, or the first option.
