Question

What is the length of segment BC
4
5
6
7

Answer 1

5

Explanation:

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Answer 2

Length BC : 5 units.

Explanation:

Given : Line BC with B ( -3 ,-2) and C ( 0 ,2) .

To find : What is the length of segment BC.

Solution : We have given Line BC with B ( -3 ,-2) and C ( 0 ,2) .

Length of BC mean distance between the point B and C.

Distance formula :
`\sqrt{(x_(2) -x_(1))^(2) +(y_(2) - y_(1))^(2)}`.

`x_(1) = -3\\x_(2) = 0\\y_(1) = -2\\y_(2) = 2`.

Plug the values in above formula.

Length BC :
`\sqrt{(0 -(-3))^(2) +(2 - (-2))^(2)}`.

Length BC :
`\sqrt{(0+3))^(2) +(2 +2))^(2)}`.

Length BC :
`\sqrt{(3)^(2) +(4)^(2)}`.

Length BC :
`√(9 +16)`.

Length BC :
`√(25)`.

Length BC : 5 units.

Therefore, Length BC : 5 units.