Answer:
Option b. 30.5
Step-by-step explanation:
Given in the picture is a triangle ABC with sides AB = 22.3 and side BC=24.1
The included angle B = 82 degrees
We have to find the third unknown side AC = b
REcollect the cosine formula for triangles.
[tex]b^{2} =a^{2} +c^{2} -2ac cos B[/tex]
substitute for a and c
We get
[tex]b^2 = 22.3^2+24.1^2-2(22.3)(24.1) cos 82\\=928.587[/tex]
b = square root of 928.587
b =30.47=30.5
Thus we get b = 30.5
