Question

triangle abc is shown. triangle abc is created by dilating triangle abc. what is the length of (overline{ab})?

Explanation:

Step1: Identify coordinates of A and B

Assume each grid - square is 1 unit. From the graph, if A has coordinates $(4,3)$ and B has coordinates $(8,4)$.

Step2: Use the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 4,y_1 = 3,x_2 = 8,y_2 = 4$.
$d=\sqrt{(8 - 4)^2+(4 - 3)^2}=\sqrt{4^2+1^2}=\sqrt{16 + 1}=\sqrt{17}$

Answer:

$\sqrt{17}$