Question

Please help me asap!

Answer 1

Option b. 30.5

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.

`b^(2) =a^(2) +c^(2) -2ac cos B`

substitute for a and c

We get

`b^2 = 22.3^2+24.1^2-2(22.3)(24.1) cos 82\\=928.587`

b = square root of 928.587

b =30.47=30.5

Thus we get b = 30.5