Parallelogram diagonals

Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm and the angle formed by them is 30 degrees.

Correct answer:

S =  45 cm2

Step-by-step explanation:

u1=15 cm u2=12 cm φ1=30  φ2=180φ1=18030=150   x=u1/2=15/2=215=7.5 cm y=u2/2=12/2=6 cm  sinφ1=h1:y h1=y sinφ1=y sin30° =6 sin30° =6 0.5=3 cm  S1=2u1 h1=215 3=245=22.5 cm2  S=2 S1=2 22.5=45 cm2

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