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 answer:

d1 =  15.7602 cm

Step-by-step explanation:

a=10 cm A=76 A2=A rad=A π180 =76 3.1415926180 =1.32645=19π/45  cosA2/2=d1/2a  d1=2 a cos(A2/2)=2 10 cos(1.3265/2)=15.7602 cm

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