Question

The coordinates of points A, B, and C are (5, 4), (–2, 1), and (4, –4), respectively. Which point, B or C, is closer to point A?

Answer 1

B

Explanation:

|AB|=
`\sqrt{(1-4)^(2)+(-2-5)^2 }=√(58)`

|AC|=
`\sqrt{(-4-4)^(2)+(4-5)^2 }=√(65)`

Answer 2

The distance between two points (x1,y1) and (x2,y2) = √((x1-x2)2+(y1-y2)2) Distance between A and B = √((5--2)2+(4-1)2) = √(72+32) = √(49+9) = √58 = 7.62 Distance between A and C = √(12+82) = √65 = 8.06 Point B is closer to A. Another method to solve this problem is to draw the points on a graph paper and measure distance with a ruler.