What is the length of segment BC 4 5 6 7

Question

asked May 8, 2018 179k views

2 Answers

James Adams · Answer 1 · 2018-05-14T08:27:33+0000

Answer:

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.