Question

the coordinates of the vertices of the triangle shown are f(1,9), g(5,6), and h(5,9). what is length of segment fg in units? units

Explanation:

Step1: Identify coordinates of F and G

$F(1,9)$, $G(5,6)$

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.
Substitute values: $d=\sqrt{(5-1)^2+(6-9)^2}$

Step3: Calculate inside the square root

$\sqrt{4^2+(-3)^2}=\sqrt{16+9}$

Step4: Simplify to find distance

$\sqrt{25}=5$

Answer:

5