+0

# coordinates

0
118
1

A line segment of length 5 has one endpoint at (1,2) and the other endpoint at (6,b). Find all possible values of b, separated by commas.

Jul 5, 2022

#1
+2602
0

Using the distance formula yields: $$5 = \sqrt{({6 - 1})^2 + ({2 - b})^2}$$

Simplifying this equation gives us $$25 = 25 + (2-b)^2$$, meaning $$(2-b)^2 = 0$$

Can you take it from here?

Jul 5, 2022