The calculated length of side u is 92.17 inches.
How to determine the length of the segment u
From the question, we have the following parameters that can be used in our computation:
v = 87 inches, t = 12 inches and ∠U = 112 degrees
Using the Law of Cosines, we have
u² = v² + t² - 2vt * cos(∠U)
Substitute the known values into the equation
u² = 87² + 12² - 2 * (87) * 12 * cos(112°)
Evaluate
u² = 8495.18
Evaluate
u = 92.17 inches.
Hence, the length of side u is 92.17 inches.
Question
In ΔTUV v=87 inches, t=12 inches and ∠ U=112°. Find the length of u, to the nearest inch.
See attachment