Question

A segment with endpoints (5,8) and (-6,8) is rotated around the origin. How long will the new segment be?

Answer 1

The segment was only rotated, not changed. It would be the same length as the original.

To find the length, use the distance formula.


`\sqrt{ {(x2 - x1)}^(2) + ( {y2 - y1)}^(2) }`
(5, 8) would be point 1.

(-6,8) would be point 2.

Plug them into the formula.


`\sqrt{( { - 6 - 5)}^(2) + ( {8 - 8)}^(2) }`
Simplify.


`\sqrt{( { - 11)}^(2) + ( {0)}^(2) }`

`√(121 + 0)`

`√(121)`
Square root this answer.

`√(121) = + or - 11`
Negative distances aren't possible, so your answer is 11.

Hope this helped!

:)