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

Question

Mathematics

Asia Rosario

12 August, 08:12

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

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Answers (1)

Know the Answer?

Colby Stephens · Answer 1

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.