Answer:
The two missing sides are : 79.54m and 58.62m
Explanation:
first we look for the missing angle in the triangle
- sum of angle in a triangle = 180°
- let make the missing angle be A
- 180 = A + 25 + 35
- 180 = A + 60
- A = 180 - 60
- A = 120°
so now we use sine rules:
- a/(sin A) = b/(sin B) = c/(sin C)
Let us make:
- The side facing 35° be called b
- The side facing 25° be called c
- The side facing 120° be called a
so :
- 120/(sin 120°) = b/(sin 35°)
- 120/(0.866) = b/0.574
- 138.57 = b/0.574
- b = 138.57 x 0.574
- 79.54m
so the side facing 35° = 79.54m
- b/(sin B) = c/(sin C)
- 79.54/(sin 35) = c/(sin 25)
- 79.54/ (0.574) = c/(0.423)
- 138.57 = c/(0.423)
- c = 138.57 x 0.423
- c = 58.62m
To find the area of this triangle