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)
Using the distance formula, the length of the two longest sides of the quadrilateral can be calculated as follows:
1. Calculate the distance between (9, -2) and (9, -11):
d = √[(9 - 9)^2 + (-11 + 2)^2]
d = √[0^2 + (-9)^2]
d = √81
d = 9 cm
2. Calculate the distance between (9, -11) and (15, -13):
d = √[(15 - 9)^2 + (-13 + 11)^2]
d = √[6^2 + (-2)^2]
d = √[36 + 4]
d = √40
d ≈ 6.32 cm
3. Calculate the distance between (15, -4) and (15, -13):
d = √[(15 - 15)^2 + (-13 + 4)^2]
d = √[0^2 + (-9)^2]
d = √81
d = 9 cm
Therefore, the lengths of the two longest sides of the quadrilateral are 9 cm and 9 cm.