Respuesta :

Answer:

130

Step-by-step explanation:

For this problem, we will apply the Pythagorean theorem which states:

a^2+b^2=c^2

*where a and b are short sides in the right triangle and c is the longest side or hypotenuse*

We are given that:

a=50

b=120

We can find the longest side c as:

a^2+b^2=c^2

50^2 +120^2=c^2

2500+14400=c^2

16900=c^2

c=130

We can conclude the length of the longest side is 130.