Find g.
(QPO lengths: 12 m, 20 m)
(OMN lengths: g, 5 m)
Using the Law of Cosines, we can solve for g:
g^2 = 12^2 + 20^2 - 2(12)(20)cos(O)
Since cos(O) = -1/2 (since it's a 2-3-5 triangle), we have:
g^2 = 144 + 400 + 480
g^2 = 1024
Taking the square root of both sides gives us:
g = 32
Therefore, g is 32 meters.