To find the length of the two longest sides of the quadrilateral, we need to calculate the distances between the four given points.
Distance between (9, −2) and (9, -11):
√[(9-9)² + (-2+11)²] = √[0 + 81] = √81 = 9 cm
Distance between (9, -11) and (15, —4):
√[(9-15)² + (-11+4)²] = √[36 + 49] = √85 ≈ 9.22 cm
Distance between (15, —4) and (15, -13):
√[(15-15)² + (-4+13)²] = √[0 + 81] = √81 = 9 cm
Distance between (15, -13) and (9, −2):
√[(15-9)² + (-13+2)²] = √[36 + 121] = √157 ≈ 12.53 cm
Therefore, the two longest sides of the quadrilateral are approximately 9 cm and 12.53 cm.
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)
1 answer