The side of rhombus is 14 in. The obtuse angle is 160º. Find the longer diagonal of the rhombus.

x = 27.57 in to the nearest hundredth.

Step-by-step explanation:

The longer diagonal is opposite the obtuse angle.

Also as it is a rhombus all sides = 14 in.

Use the Cosine Rule:

x^2 = 14^2 + 14^2 - 2*14^2 cos 160

x^2 = 760.36

x = sqrt 760.36

x = 27.57 in.