Question

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

piece from (-2,-4) to (-1,6) to (3,8) and then back to (-2,-4) to form a triangle.
What is the approximate perimeter of this triangle?
A. 34 units
B. 28 units
C. 24 units
D. 17 units

Answer 1

28 units.

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)} = √(101) = 10.05` units.

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

`\sqrt{(-1 - 3)^(2) + (6 - 8)^(2)} = √(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)