Flashcard 9 - Math Flashcard Set for the PERT

Distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\), which is just the Pythagorean formula \(c^2=a^2+b^2\) Midpoint formula:
\(\frac{(x_2+x_1)}{2},\frac{(y_2+y_1)}{2}\), which is just the average of the x-coordinates and the average of the y-coordinates

The distance between two points or coordinates use the Pythagorean formula for right triangles because the distance is actually the hypotenuse of a right triangle. Visualize this: the difference between the x values (run) is the horizontal side; the difference between the y values (rise) is the vertical side; the diagonal distance between the two points is the hypotenuse. To remember: Think of distance as the diagonal in a run-rise triangle.

The mid-point is the middle of two points. This is clearly just the average of the x values and the average of the y values. To remember: Think of MID-point as MIDDLE = AVERAGE.