3. Rectangle ABCD is shown on the coordinate grid below. у 10 8 units 12 units - 10 -8 X 9 units D o 7 units Which is closest to the length of diagonal AC?

Question

asked Dec 26, 2021 13.7k views

1 Answer

Ali Kamal · Answer 1 · 2022-01-02T02:05:06+0000

Answer:

A. 8 units

Explanation:

Coordinates of A = (-2, -2)

Coordinates of C = (5, 2)

Use distance formula,
d = √((x_2 - x_1)^2 + (y_2 - y_1)^2) to calculate the length of diagonal
$\overline{AC}$ .

Let,

A(-2, -2) = (x_1, y_1)

C(5, 2) = (x_2, y_2)

d = √((5 -(-2))^2 + (2 -(-2))^2)

d = √((7)^2 + (4)^2)

d = √(49 + 16) = √(65)

d = 8.1 (nearest tenth)

Therefore, the closest to the length of diagonal
$\overline{AC} = 8 units$