Question

The horizontal axis is labeled x and goes from negative 5 to 10 in intervals of 1 labeled every 5 units. The vertical axis is labeled y and goes from negative 5 to 5 in intervals of 1 labeled every 5 units. Vertex upper A is at left parenthesis 2 comma 1 right parenthesis, Vertex upper C is at left parenthesis 6 comma 4 right parenthesis, and vertex upper B is at left parenthesis negative 3 comma negative 5 right parenthesis. There is a line from Vertex upper B to point upper D. Point upper D is on line AC.

If D is the midpoint of AC¯¯¯¯¯¯¯¯
, what is length BD
? Round your answer to the tenths place.

(1 point)
Length BD
is about
units.

Answer 1

Midpoint D of AC: ((2+6)/2, (1+4)/2) = (4, 2.5).

Distance BD = sqrt[(4 - (-3))^2 + (2.5 - (-5))^2] = sqrt[7^2 + 7.5^2] = sqrt[49 + 56.25] = sqrt[105.25] ≈ 10.258.

Rounded to the tenths place: 10.3 units.