The side of rhombus is 14 in. The obtuse angle is 160º. Find the longer diagonal of the rhombus.
Accepted Solution
A:
Answer: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 160x^2 = 760.36x = sqrt 760.36x = 27.57 in.