Question

Given the coordinates (9,−2) , (9,−11) , (15,−4) , and (15,−13) , what is the length of each of the two longest sides of the quadrilateral, in cm?(1 point)
cm

Answer 1

Using the distance formula:

Distance between (9,-2) and (9,-11) = √((9-9)^2 + (-11+2)^2) = √(0^2 + 9^2) = √(0+81) = √81 = 9 cm

Distance between (15,-4) and (15, -13) = √((15-15)^2 + (-13+4)^2) = √(0^2 + 9^2) = √(0+81) = √81 = 9 cm

Therefore, the length of the two longest sides of the quadrilateral is 9 cm each.