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.
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?
1 answer