Question

Find all the missing elements:

Answer 1

Answer:

a=10.8; c=4.3

Step-by-step 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: $\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}$

$\frac{a}{sin120}=\frac{8}{sin40}; a=\frac{8*sin120}{sin40}; a=10.77837084$

$\frac{c}{sin20}=\frac{8}{sin40}; a=\frac{8*sin20}{sin40}; c=4.25671109$