Question

If A = (9, 18) and B = (1, 12), what is the length of AB

Answer 1

the length is 10

Explanation:

√(1 - 9)2 + (12 - 18)2 =

√(-8)2 + (-6)2 = √64 + 36 =

√100= 10

Answer 2

Length of AB = 10

Explanation:

This can be found by using the distance formula.

Distance Formula =
`√((y_2-y_1)^2+(x_2-x_1)^2)`

Where

(x_1,y_1) is the first coordinate pair and (x_2,y_2) is the second coordinate pair

Thus

x_1 = 9 and y_1 = 18

x_2 = 1 and y_2 = 12

Plugging them into the formula, we get:

Length =
`√((y_2-y_1)^2+(x_2-x_1)^2) \\=√((12-18)^2+(1-9)^2)`. WHich is equal to 10.

Length is 10