Asked by pp
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?
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?
Answers
Answered by
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.
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.
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