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 centimeters?

Answer 1

To find the length of each of the two longest sides of the quadrilateral, we can use the distance formula for two points (x1, y1) and (x2, y2):

Distance between (9, −2) and (15, −4):
sqrt[(15-9)^2 + (-4-(-2))^2]
= sqrt[6^2 + (-2)^2]
= sqrt[36 + 4]
= sqrt[40]
= 2 * sqrt(10) ≈ 6.32 cm

Distance between (9, −11) and (15, −13):
sqrt[(15-9)^2 + (-13-(-11))^2]
= sqrt[6^2 + (-13+11)^2]
= sqrt[36 + 4]
= sqrt[40]
= 2 * sqrt(10) ≈ 6.32 cm

Therefore, the length of each of the two longest sides of the quadrilateral is approximately 6.32 cm.

Answer 2

That's not right, try again

Answer 3

Apologies for the error in the previous calculation. Let's recalculate the distances between the given coordinates to find the length of the two longest sides of the quadrilateral.

Distance between (9, −2) and (9, −11):
sqrt[(9-9)^2 + (-11-(-2))^2]
= sqrt[0^2 + (-9)^2]
= sqrt[0 + 81]
= sqrt[81]
= 9 cm

Distance between (15, −4) and (15, −13):
sqrt[(15-15)^2 + (-13-(-4))^2]
= sqrt[0^2 + (-9)^2]
= sqrt[0 + 81]
= sqrt[81]
= 9 cm

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