Final answer:
To find the length of side BC, use the distance formula which is the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates of points B and C.
Step-by-step explanation:
The question asks us to find the length of side BC in a triangle with vertices at given coordinates. To solve this, we apply the distance formula, which is derived from the Pythagorean theorem and is d = √((x2-x1)^2 + (y2-y1)^2), where d is the distance between two points with coordinates (x1, y1) and (x2, y2). In this case, the points are B(2.2, 4.4) and C(5.6, -3.4).
Step one: Subtract the x-coordinates of points B and C to find the horizontal distance. Step two: Subtract the y-coordinates of points B and C to find the vertical distance. Step three: Square both results from steps one and two and add them together. Step four: Take the square root of the sum to find the length of BC. Following these steps, you will find the correct length.
So the calculation would be √((5.6 - 2.2)^2 + (-3.4 - 4.4)^2) = √((3.4)^2 + (-7.8)^2) = √(11.56 + 60.84) = √(72.4) ≈ 8.51