Hello, cutiepie32!
Did you make a sketch?
Two side of parallelogram form a 120° angle.
The longer side of the parallelogram is 18cm long.
The diagonal opposite the 120° angle is 24cm long.
Find: (a) the length of the shorter side
. e . .(b) the area of the parallelogram Code:
D o - - - - - - - o C
:\ * \
: \ θ * \
: \ * 24 \
h \ x * \
: \ * \
: \ * \
: \ 120° α * \
o A o - - - - - - - o B
E 18
We have parallelogram with: .
Let: .
Law of Sines: .
. . Hence: .
. . Then: .
Law of Sines: . .(a)
In right triangle
Therefore: . .(b)