Question

Which corresponds to the perimeter of triangle ABC?

A (-5,-1)
B (-2,3)
C (6,-3)


A. 15 units
B. square root 250 units
C.15+ square root 125 units
D.125+ square root 125 units

Answer 1

The answer to your question is: letter C

Explanation:

Data

A (-5 , -1)

B (-2, 3)

C (6, -3)

Perimeter = ?

Formula

`d = \sqrt{(x2 - x1)^(2) + (y2 - y1)^(2) }`

distance AB
`d = \sqrt{(-2 + 5)^(2) + (3 + 1)^(2) }`

`d = \sqrt{(3)^(2) + (4)^(2) }`

`d = √((9 + (16) )`

`d = √(25)`

d = 5

Distance BC
`d = \sqrt{(-3 - 3)^(2) + (6 + 2)^(2) }`

`d = \sqrt{(-6)^(2) + (8)^(2) }`

`d = √(36 + 64)`

`d = √(100)`

d = 10

Distance AC
`d = \sqrt{(-3 + 1)^(2) + (6 + 5)^(2) }`

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

`d = √(4 + 121)`

`d = √(125)`

d = 11.2

Perimeter = 5 + 10 + 11.2

= 15 +
`√(125)`