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

1 answer

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.