A rhombus

A rhombus has sides of length 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus.

Correct result:

d1 =  15.7602 cm

Solution:

a=10 cm A=76 ∘ A2=A∘→ rad=A∘⋅ π180 =76∘⋅ 3.1415926180 =1.32645=19π/45  cos⁡A2/2=d1/2a  d1=2⋅ a⋅ cos⁡(A2/2)=2⋅ 10⋅ cos⁡(1.3265/2)=15.7602 cm

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