For this, you will be using the pythagorean theorem, which is [tex] leg^2+leg^2=hypotenuse^2 [/tex] . In this case, 3 and 7 are the hypotenuse and AB is the hypotenuse. Our equation is [tex] 3^2+7^2=AB^2 [/tex]
Firstly, solve the exponents: [tex] 9+49=AB^2 [/tex]
Next, combine 9 and 49 to get [tex] 58=AB^2 [/tex]
Lastly, square root both sides to get [tex] \sqrt{58}=AB [/tex]
In short, the answer is √58 cm, or the last option.
