Aabc aefg
ab = 6, gf = 8, ac = 10.
find each side length. show your work.
(3 points, 1 point each)
a. bc =
b. ef =
c. eg =

BC=8

EF=6

EG=10

Step-by-step explanation:

Because these triangles are congruent, their sides MUST be the same. So, using corresponding parts of congruent triangles,

BC=8

EF=6

EG=10

We first determine the angle between the 83 mi and the 111 mi sides. Let this angle be represented by x, and use the cosine law to solve this:
165^2 = 83^2 + 111^2 - 2(83)(111)cos(x)
cos(x) = 115.8 degrees
Therefore, the angle north of west that the ship turned would be 180 - 115.8 = 64.2 degrees.