Question

Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP

Answer 1

1. 5

2.
`√(85)`

3.
`√(26)`

Explanation:

1. just count the units: 5 units

2. Find the slope = rise/run = -7/6

you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)

use the pythagorean theorem to find the hypotenuse.

`a^(2) +b^(2) =c^(2)`

`7^(2) + 6^(2) = c^(2)`

49 + 36 =
`c^(2)`

85 =
`c^(2)`

`√(85) = \sqrt{ c^(2)`

`√(85) = c`

Simplify the radical, but
`√(85)` is farthest that it can go, so that is the answer.

3. same process as 2

slope = -1/5

`1^(2) + 5^(2) = c^(2)`

1 + 25 =
`c^(2)`

26 =
`c^(2)`

`√(26) = c`

That is the farthest it can go, so that will be the answer.