Question

Trigonometry

Length of line segment
Find the length of the line segment whose endpoints are: (2, 3) and (6, -7)

Answer 1

`\huge\boxed{2√(29)}`

Use the distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute in the known values.

`d=√((6-2)^2+(-7-3)^2)`

Subtract.

`d=√(4^2+(-10)^2)`

Find the powers.

`d=√(16+100)`

Add.

`d=√(116)`

Find two factors of
`116`.

`d=√(4*29)`

Find the two factors of
`4`.

`d=√(2*2*29)`

Move the pair outside the square root.

`d=\boxed{2√(29)}`