Question 1196783
i was able to solve this using the law of cosines.
that law says:
c^2 = a^2 + b^2 - 2*a*b*cos(C)
what i got was:
long diagonal = 700.4064496911
short diagonal = 333.4528530858
i verified using an online parallelogram calculator found at <a href = "https://www.calculatorsoup.com/calculators/geometry-plane/parallelogram.php" target = "_blank">https://www.calculatorsoup.com/calculators/geometry-plane/parallelogram.php</a>
it did not solve it directly, so i used one of my answer for the long diagonal to have it solve for the other properties of the parallelogram and they checked out.
here's what the calculator showed me after i gave it the two side length that were given as part of the problem and the long diagonal that i calculated using the law of cosines.
<img src = "http://theo.x10hosting.com/2022/100103.jpg">
<img src = "http://theo.x10hosting.com/2022/100102.jpg">
i'll be available to answer any questions you have about this.