Question

1.What are the coordinates of the vertices of ABC? Use the coordinates to find the lengths of AC and AB .

Answer 1

Answer/Step-by-step explanation:

1.

✔️Coordinates of vertices ABC:

A(2, 2)

B(6, 2)

C(2, -1)

✔️AC = |2 - (-1)| = 3 units

AB = |2 - 6| = 4 units

2. Distance formula => $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Distance between B(6, 2) and C(2, -1):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Where,

$B(6, 2) = (x_1, y_1)$

$C(2, -1) = (x_2, y_2)$

$BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2}$

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

$BC = \sqrt{16 + 9} = \sqrt{25}$

$BC = 5 units$