SOH CAH TOA
Opposite is 7
Y is the hypotenuse - longest side
So, x is the adjacent
Find y first, we've got opposite & hypotenuse
=> SOH or Sin
Sin(30) = o/h
Sin(30) = 7/h
x h
h x sin(30) = 7
÷ Sin(30)
H = 14
Pythagoras' Theorem: a^2 + b^2 = c^2
(which I've already rearranged, to find value of x)
Square root of 14^2 - 7^2 = 7 root 3.
Thus, the missing lengths should be 14 and 7 root 3.
The answer is:
y = 14
x = 7 root 3
(root => a square root)
Hope this helps!
