Question

The distance between A(-2,4) and B (1,0) is?

A. 2.24
B. 5
C. 25
D. 4
E. -5

Answer 1

Answer: 5 (choice B)

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Work Shown:

`A = (x_1,y_1) = (-2,4) \text{ and } B = (x_2, y_2) = (1,0)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((-2-1)^2 + (4-0)^2)\\\\d = √((-3)^2 + (4)^2)\\\\d = √(9 + 16)\\\\d = √(25)\\\\d = 5\\\\`

I used the distance formula.

A slight alternative is to plot the points to form a right triangle. The hypotenuse is the segment from A to B. Then use the pythagorean theorem to find the hypotenuse. Take note how a 3-4-5 right triangle forms.