Question

What is the length of BD? Round your answer to the hundredths place. B. . C . BUN D NO 7

Answer 1

12.08

Step-by-step explanation:

The distance between two points can be calculated as:

`\text{distance}=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}`

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:

`\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}`

Therefore, the length of BD is 12.08