One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhomb

Question

Ber [7]

3 years ago

11

One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhomb

us? (Hint: Diagonals of a rhombus bisect the angles.) 7 in. 8 in. 11 in.

Mathematics

1 answer:

liberstina [14] · Answer 1 · 2022-04-10T15:46:24+03:00

liberstina [14]3 years ago

3 0

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