Parallelogram Problem
Geometry
Level
3
Two sides of a parallelogram are 694.5 feet and 418.32 feet, respectively; one diagonal is 602.94 feet. Find the length of the other diagonal.
973.24 feet
970.24 feet
977.24 feet
975.24 feet
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1 solution
Compute the value of angle A using law of cosines. We know that A + B = 180. Compute the value of B after computing the value of A. We know that B = D. Now use the law of cosines to compute for the length of the other diagonal.
A = 59.63 degrees
B = 180 - 59.63 = 120.37 degrees
D = B = 120.37 degrees
length of the other diagonal, x = 975.24 feet