Answer:
28 units.
Step-by-step explanation:
The distance between two given points ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) is given by the formula
[tex]\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}[/tex]
So, the distance between points (-2,-4) and (-1,6) is
[tex]\sqrt{(-2 - (- 1))^{2} + (-4 - 6)^{2}} = \sqrt{101} = 10.05[/tex] units.
Now, the distance between points (-1,6) and (3,8) is
[tex]\sqrt{(-1 - 3)^{2} + (6 - 8)^{2}} = \sqrt{20} = 4.47[/tex] units
Again, the distance between the points (-2,-4) and (3,8) is
[tex]\sqrt{(- 2 - 3)^{2} + (-4 - 8)^{2}} = 13[/tex] units.
Therefore,the perimeter of the triangle is (10.05 + 4.47 + 13) = 27.52 ≈ 28 units. (Approximate)
