Answer:
12.2
Step-by-step 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
