In order to find the sides of a right triangle, you can use the pythagorean theorem. (a^2 + b^2 = c^2)
The pythagorean theorem basically means that the square of two sides is equal to the square of the hypotenuse (the longest side of a triangle)
In this case, we already have 'a' and 'c', but not 'b'.
12^2 + b^2 = 19^2
Mutliply everything:
144 + b^2 = 361
Isolate b into one side by subtracting both sides by 144:
b^2 = 217
Square root both sides in order to completely isolate b:
b =
The answer is Option F
Good luck!