One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus? (Hint: Diagonals of a rhombus bisect the angles.) 7 in. 8 in. 11 in.
Accepted Solution
A:
The value of the length of the rhombus will be found as follows: cos θ=adjacent /hypotenuse θ=108/2=54° adjacent = 9/2=4.5 inch hypotenuse=length of the rhombus thus cos 54=9/x x=4.5/cos 54 x=7.6558~8 inches the answer is 8 inches