Final answer:
The length of Side BC cannot be determined because there is no real solution.
Step-by-step explanation:
To find the length of Side BC, we can use the Pythagorean theorem since we have a right triangle. Side BG and Side BC are the two legs of the triangle, and Side CG is the hypotenuse. According to the Pythagorean theorem, the sum of the squares of the two legs equals the square of the hypotenuse. So, we have:
BC^2 + BG^2 = CG^2
Substituting the given values:
BC^2 + (2.5*√3)^2 = 2.5^2
Simplifying the equation:
BC^2 + 7.5 = 6.25
BC^2 = 6.25 - 7.5
BC^2 = -1.25
Since the length of a side cannot be negative, there is no real solution for the length of Side BC.