Answer:
The answer to your question is: letter C
Step-by-step explanation:
Data
A (-5 , -1)
B (-2, 3)
C (6, -3)
Perimeter = ?
Formula
[tex]d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
distance AB [tex]d = \sqrt{(-2 + 5)^{2} + (3 + 1)^{2} }[/tex]
[tex]d = \sqrt{(3)^{2} + (4)^{2} }[/tex]
[tex]d = \sqrt{(9 + (16) }[/tex]
[tex]d = \sqrt{25}[/tex]
d = 5
Distance BC [tex]d = \sqrt{(-3 - 3)^{2} + (6 + 2)^{2} }[/tex]
[tex]d = \sqrt{(-6)^{2} + (8)^{2} }[/tex]
[tex]d = \sqrt{36 + 64}[/tex]
[tex]d = \sqrt{100}[/tex]
d = 10
Distance AC [tex]d = \sqrt{(-3 + 1)^{2} + (6 + 5)^{2} }[/tex]
[tex]d = \sqrt{(-2)^{2} + (11)^{2} }[/tex]
[tex]d = \sqrt{4 + 121}[/tex]
[tex]d = \sqrt{125}[/tex]
d = 11.2
Perimeter = 5 + 10 + 11.2
= 15 + [tex]\sqrt{125}[/tex]
