Answer:
12.08
Explanation:
The distance between two points can be calculated as:
[tex]\text{distance}=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Where (x1, y1) and (x2, y2) are the coordinates of the points.
Now, the length of BD can be calculated as the distance between points B and D. So, the coordinates of B is (2, 5) and the coordinates of D are (-3, -6)
Therefore, the distance between B and D is:
[tex]\begin{gathered} \text{distance}=\sqrt[]{(2-(-3))^2+(5-(-6))^2} \\ \text{distance}=\sqrt[]{(2+3)^2+(5+6)^2} \\ \text{distance}=\sqrt[]{5^2+11^2} \\ \text{distance}=\sqrt[]{146} \\ \text{distance}=12.08 \end{gathered}[/tex]
Therefore, the length of BD is 12.08
