Answer: To find the perimeter of a triangle, we need to add the length of all three sides of the triangle.
To find the length of each side, we can use the distance formula which is the square root of (x2-x1)^2 + (y2-y1)^2.
The distance between point A (9,-2) and point B (5,1) is: √((9-5)^2 + (-2-1)^2) = √16 + 9 = √25 = 5.
The distance between point B (5,1) and point C (9,-3) is: √((9-5)^2 + (-3-1)^2) = √16 + 16 = √32 = 5.66.
The distance between point C (9,-3) and point A (9,-2) is: √((9-9)^2 + (-3- -2)^2) = √1 + 1 = √2 = 1.41
The perimeter is the sum of the length of all three sides:
Perimeter = 5 + 5.66 + 1.41 = 12.07
Round the answer to two decimal places, the perimeter of the triangle is 12.07.
Explanation: