Answer: the length of side c is approximately 74.3 units.
Step-by-step explanation: In a triangle with sides a, b, and c, and opposite angles A, B, and C, respectively, the Law of Cosines states that:
c^2 = a^2 + b^2 - 2ab*cos(C)
We are given the following information:
a = 55 (the side opposite angle A)
b = 50 (the side opposite angle B)
C = 90 degrees (the angle opposite side c)
Substituting these values into the Law of Cosines, we get:
c^2 = 55^2 + 50^2 - 2(55)(50)*cos(90)
c^2 = 3025 + 2500 - 0
c^2 = 5525
Taking the square root of both sides, we get:
c = sqrt(5525)
c ≈ 74.3