Answer:
y = 3.2 units
Step-by-step explanation:
Find the missing angle measure x. Use the fact that all interior angle measures in a triangle add up to 180 degrees.
- 55 + 50 + x = 180
- 105 + x = 180
- x = 75
We can use the Law of Cosines to determine the missing side length y.
- a² = b² + c² - 2bc · cos(A)
Let's set UW (y) as a, WV as b, and UV as c. Therefore, ∠V must be A, ∠U must be B, and ∠W must be C.
Use the Law of Cosines to solve for a (side length y).
- a² = b² + c² - 2bc · cos(A)
- a² = (4)² + (3.5)² - 2(4)(3.5) · cos(50)
- a² = 28.25 - 28cos(50)
- a² = 28.25 - 17.99805307
- a² = 10.25194693
- a = 3.20186616366
Side length y is equal to 3.2 units.
