Question

Find all the missing elements:

B
40°
a
120°
A
8
С
C = [?]° a = [ ] C = [ ]
Enter

Answer 1

c=20 a=10.8 c=4.3

Explanation:

Answer 2

a=10.8; c=4.3

Explanation:

The sum of all the angles in a triangle is 180 degrees.

Two of the angles are given as 40 deg and 120 deg.

Subtract the measures of both from the sum to get the last angle:

180-40-120=20; ∠C=20°

Using Law of Sines:
`(a)/(sinA)=(b)/(sinB)=(c)/(sinC)`

`(a)/(sin120)=(8)/(sin40); a=(8*sin120)/(sin40); a=10.77837084`

`(c)/(sin20)=(8)/(sin40); a=(8*sin20)/(sin40); c=4.25671109`