Answer:
20 cm and 34.64 cm.
Step-by-step explanation:
Consider the triangle with vertex 60 degrees. The diagonal is perpendicular to the other diagonal , and it bisects the 60 degree angle.
So we have the relation cos 30 = x / 20 where x = 1/2 of the diagonal.
x = 20 cos 30
x = 17.32
And as the diagonals bisect each other this diagonal = 2*17.32 = 34.64 cm.
Similarly, the other diagonal = 2 * 20 cos 60 = 20 cm
