Question

Find the length of line segment BC
.

(1 point)
Responses

10 cm
10 cm

9 cm
9 cm

3 cm
3 cm

8 cm

Given:
A (2,5)
B(1,3)
C(9,3)
D(9,6)

Answer 1

To find the length of line segment BC, we can use the distance formula, which is given by:

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

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of points B and C.

Given the coordinates of points B and C:
- B(1, 3)
- C(9, 3)

Now, applying the distance formula:

\[
d_{BC} = \sqrt{(9 - 1)^2 + (3 - 3)^2}
\]

Calculating the values inside the square root:

\[
d_{BC} = \sqrt{(8)^2 + (0)^2}
\]

\[
d_{BC} = \sqrt{64 + 0}
\]

\[
d_{BC} = \sqrt{64}
\]

\[
d_{BC} = 8
\]

Thus, the length of line segment BC is \( \text{8 cm} \).