Answer:
50
Step-by-step explanation:
I did this by inspection because {7, 24, 25} is a common trio, but ill just break it down for you.
Let the hypotenuse be x
Then [tex]14^2+48^2=50^2[/tex]
2500 = [tex]x^2[/tex]
x=50 or -50 (not applicable because you cannot have a negative length).
So the hypotenuse is 50.
Note: Common trios such as {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17} are worth remembering as you can often multiply them in such questions. Such as in this question, {7, 24, 25} times 2 is {14, 48, 50}.
Hope you have a nice day!
