Question

Please answer it now in two minutes

Answer 1

Area = 19.9 mm²

Explanation:

Step 1: Find Angle V.

m < V = 180 - (131 + 27) (sum of angles in a triangle)

V = 22°

Step 2: Find UW using the law of sines.

`(UW)/(sin(V)) = (UV)/(sin(W))`

Plug in your values

`(UW)/(sin(22)) = (8)/(sin(27))`

Multiply both sides by sin(22) to solve for UW

`(UW*sin(22))/(sin(22)) = (8*sin(22))/(sin(27))`

`UW = (8*sin(22))/(sin(27))`

`UW = 6.6 mm`

Step 3: Find the area of ∆UVW

Area = ½*UW*UV*Sin(U)

Area = ½*6.6*8*sin(131)

Area = 3.3*8*sin(131)

Area = 19.9 mm² (to the nearest tenth)