Question

Find the length of line segments (4,6) and (5,2)

Answer 1

Answer:
`\displaystyle d=√(1 7)\;\text{or about 4.123 units}`

Explanation:

We can use the distance formula to solve. Let (4, 6) be point one and (5, 2) be point two.

`\displaystyle d=\sqrt{(x_(2)-x_(1))^2 +(y_(2)-y_(1))^2}`

`\displaystyle d=√((5-4)^2 +(2-6)^2)`

`\displaystyle d=√((1)^2 +(-4)^2)`

`\displaystyle d=√(1 +16)`

`\displaystyle d=√(1 7)`