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olga55 [171]
3 years ago
6

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

Mathematics
1 answer:
Andrew [12]3 years ago
7 0

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

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