Question

find the length of side $overline{bc}$ for the square shown.

Explanation:

Step1: Identify coordinates of B and C

B(7,1), C(7, - 4)

Step2: Use distance formula for vertical line

Since x - coordinates are the same (x = 7 for both B and C), we find the distance by subtracting y - coordinates. Distance $d=\vert1-(-4)\vert$.

Step3: Calculate the distance

$d=\vert1 + 4\vert=5$. So the length of side BC is 5 units.

Answer:

5