Question

The coordinates of the vertices of △UVW are U(−2,−1), V(2,−1), and W(2,−8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

A. UV = 4; VW = 7, UW ≈ 7.05
m∠V = 90°, m∠U ≈ 30°, m∠W ≈ 60°

B. UV = 4; VW = 7, UW ≈ 8.06
m∠V = 90°, m∠U ≈ 60°, m∠W ≈ 30°

C. UV = 7; VW = 4, UW ≈ 8.06
m∠U = 90°, m∠V ≈ 60°, m∠W ≈ 30°

D. UV = 7; VW = 4, UW ≈ 7.05
m∠U = 90°, m∠V ≈ 30°, m∠W ≈ 60°

need a bit of help. appreciate it.

Answer 1

gee, did you plot the points? It's clearly a right triangle, with
UW^2 = 4^2+7^2
and V is the right angle.
Now finish it off.

Answer 2

@oobleck so its A

Answer 3

Nope. The smallest angle is opposite the smallest side.