Question

8. Jasmine is playing a game where she moves a piece on a coordinate grid. Over three turns, she moves her

Answer 1

Answer:

28 units.

Step-by-step explanation:

The distance between two given points ($x_{1},y_{1}$) and ($x_{2},y_{2}$) is given by the formula  

$\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$

So, the distance between points (-2,-4) and (-1,6) is

$\sqrt{(-2 - (- 1))^{2} + (-4 - 6)^{2}} = \sqrt{101} = 10.05$ units.

Now, the distance between points (-1,6) and (3,8) is

$\sqrt{(-1 - 3)^{2} + (6 - 8)^{2}} = \sqrt{20} = 4.47$ units  

Again, the distance between the points (-2,-4) and (3,8) is

$\sqrt{(- 2 - 3)^{2} + (-4 - 8)^{2}} = 13$ units.

Therefore,the perimeter of the triangle is (10.05 + 4.47 + 13) = 27.52 ≈ 28 units. (Approximate)