A diagonal of a parallelogram is 50 inches long and makes angles of 37°10' and 49°20' with the sides. How long is the longest side?

https://media.glynlyon.com/g_trg_2013/4/parallel_d50.gif

30 in.

38 in.

40 in.

66 in.

Question

A diagonal of a parallelogram is 50 inches long and makes angles of 37°10' and 49°20' with the sides. How long is the longest side?

https://media.glynlyon.com/g_trg_2013/4/parallel_d50.gif

30 in.

38 in.

40 in.

66 in.

31356 · Answer

Sine Law: Sin(A)/a = Sin(B)/b 
sides (a,b,c): 3136.846, 600, 3037.3594 
angles (A,B,C): 94°, 11°, 75° is an obtuse scalene triangle.