Answer:
The possible values of are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that . By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
(1)
Where:
, , - x-Coordinates of points A, B and C.
- y-Coordinates of points A, B and C.
Then, we expand and simplify the expression above:
If we know that , , , , and , then we have the following expression:
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
,
In consequence, the possible values of are -2.944 and -9.055, respectively.