Question

Solve for the last missing side any way you'd like.

55°
10
35°
8.2

Answer 1

12.2

Explanation:

Let C be the last angle c + 55° + 35° = 180° (sum of angles in a triangle)

C + 90° = 180°

C = 180° - 90°

C = 90°

Let c be the last side

Using the sine rule a/sinA = b/sinB = c/sinC

Using any of the other two sides,

10/sin55° = c/sin90°

c = 10/sin55° × sin90°

c = 10/0.8192 × 1

c = 12.21

c ≅ 12.2