The diagonals of a parallelogram are 24 meters and 40 meters and intersect at an angle of 60º. find the length of the longer side.

The length of the longer side is 28 meters

Step-by-step explanation:

we know that

In a parallelogram,  the intersecting diagonals bisect each other;

The supplementary angle of 60° is 120°.

see the attached figure to better understand the problem

Let

a ----> the length of the longer side

b ----> the length of the shorter side.

Apply the Law of Cosines to the lower triangle.

therefore

The length of the longer side is 28 meters

answer:

your answer is: c. 196 7/8 in^3.