trinityis
Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Triangle UVW has a perimeter of 11.5 units. Solve for y.

Triangle UVW Has A Perimeter Of 115 Units Solve For Y class=

Sagot :

Space

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.

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.