A right triangle has sides of length 3, 4, and x .Find x if it is the hypotenuse
![A right triangle has sides of length 3 4 and x Find x if it is the hypotenuse class=](https://us-static.z-dn.net/files/d4e/d39410f02aa60e0a264a67d6e15089d4.png)
Work Shown:
a = 3 and b = 4 are the two legs
c = x is the unknown hypotenuse
Use the pythagorean theorem to solve for c
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
c^2 = 25
c = sqrt(25)
c = 5