Question
The coordinates of the vertices of the triangle shown are A(1, 1) B(5, 1) and C(1,5) Which measurement is closest to the length of overline CB in units?
A 4.7 units
B 49 units
C 5.7 units
D 5.9 units
A 4.7 units
B 49 units
C 5.7 units
D 5.9 units
Answers
GPT 3.5
To find the length of overline CB, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of C are (1,5) and the coordinates of B are (5,1).
Distance = √((5 - 1)^2 + (1 - 5)^2)
Distance = √(4^2 + -4^2)
Distance = √(16 + 16)
Distance = √32
Distance ≈ 5.7 units
Therefore, the measurement closest to the length of overline CB is C) 5.7 units.
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of C are (1,5) and the coordinates of B are (5,1).
Distance = √((5 - 1)^2 + (1 - 5)^2)
Distance = √(4^2 + -4^2)
Distance = √(16 + 16)
Distance = √32
Distance ≈ 5.7 units
Therefore, the measurement closest to the length of overline CB is C) 5.7 units.