Question

PLEASE PLEASE PLEASE HELP GEOMETRY B 9TH GRADE

Answer 1

The bear traveled a total distance of 30 units along the path of the triangle shown above.

How to apply the distance formula?

To find the distance traveled by the bear along the path of the triangle, you can use the distance formula. The distance formula between two points
`\((x_1, y_1)\)` and
`\((x_2, y_2)\)` is given by:

`\[ \text{Distance} = √((x_2 - x_1)^2 + (y_2 - y_1)^2) \]`

For the three sides of the triangle:

1. Distance from A to B:

AB = √[(9 - 4)² + (-2 - (-2))²]

AB = 5

2. Distance from B to C:

BC = √[(9 - 9)² + (10 - (-2))²] = 12

3. Distance from C to A:

CA = √[(4 - 9)² + (-2 - 10)²] = 13

The total distance traveled by the bear along the path of the triangle is the sum of these distances:

Total Distance = AB + BC + CA = 5 + 12 + 13 = 30

Therefore, the bear traveled a total distance of 30 units along the path of the triangle.