Question

The coordinates is (2,3) (2-,1) -3,-1)

What is the length of side 1?

What is the length of side 2?

What is the length of side 3? Response area

What is the perimeter of the triangle?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the lengths of the sides, we can use the distance formula:

1) Length of side 1:
Distance between (2,3) and (2,-1) = √((2-2)^2 + (-1-3)^2) = √(0^2 + (-4)^2) = √16 = 4 units

2) Length of side 2:
Distance between (2,-1) and (-3,-1) = √(((-3)-2)^2 + (-1-(-1))^2) = √((-5)^2 + 0^2) = √25 = 5 units

3) Length of side 3:
Distance between (-3,-1) and (2,3) = √((2-(-3))^2 + (3-(-1))^2) = √((2+3)^2 + (3+1)^2) = √(5^2 + 4^2) = √(25 + 16) = √41 units

The perimeter of the triangle is the sum of the lengths of all three sides:
Perimeter = Side 1 + Side 2 + Side 3 = 4 + 5 + √41 = 9 + √41 units.