Question

The horizontal axis is labeled x and goes from negative 10 to 10 in intervals of 1 labeled every 5 units. The vertical axis is labeled y and goes from negative 10 to 10 in intervals of 1 labeled every 5 units. Vertex A is at left parenthesis negative 8 comma negative 2 right parenthesis, vertex B is at left parenthesis negative 5 comma 5 right parenthesis, and vertex C is at left parenthesis 5 comma 2 right parenthesis.

△ABC
is plotted on a coordinate plane.

If D is the is the midpoint of BC¯¯¯¯¯¯¯¯
, what is the length of median AD¯¯¯¯¯¯¯¯
?

(2 points)
Responses

5.3
5.3

5.8
5.8

9.7
9.7

8.1
8.1
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Answer 1

Midpoint D of BC = ((-5+5)/2, (5+2)/2) = (0, 3.5).

Distance AD = sqrt[(0 - (-8))^2 + (3.5 - (-2))^2] = sqrt[8^2 + 5.5^2] = sqrt[64 + 30.25] = sqrt[94.25] ≈ 9.7.

Answer: 9.7