By using the Pythagorean theorem, both the distance from A to M and the distance from B to M are approximately equal to 8.25 units.
How to calculate distances in line segments
Diameters are line segments whose endpoints lie on the same circumference and whose midpoint is the center of the circle associated to that circumference. In this problem we know the locations of the endpoints (points A and B) and a third point (point M) inside the diameter, and based on all this information we must determine the distances between points A and M and points B and M.
Each case can be found by using the Pythagorean theorem in the following form:
Points A and M
AM = √[[- 5 - (- 3)]² + [- 4 - (- 12)]²]
AM = 2√17
AM ≈ 8.25
Points B and M
BM = √[[- 7 - (- 5)]² + [4 - (- 4)]²]
BM = 2√17
BM ≈ 8.25
To learn more on Pythagorean theorem: https://brainly.com/question/14930619
#SPJ1
