How do i find the missing side lengths of a 30/60/90 triangle if it has a hypotenuse of 7?

The shortest side (the one opposite the 30o angle) is 1/2 the hypotenuse.

The shortest side = 7/2 = 3.5

The other side can before using a^2 + b^2 = c^2

c = 7

b = 3.5

a = x

x^2 + 3.5^2 = 7^2

x^2 + 12.25 = 49

x^2 = 36.75

x = sqrt (36.75)

x = 6.062

Check

6.062^2 + 3.5^2 = ? 7^2

36.75 + 12.25 = 49

49 = 49 It does check.