Question

Please help me asap!

Answer 1

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.

$b^{2} =a^{2} +c^{2} -2ac cos B$

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