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
NOT IT
The two longest sides of the quadrilateral are the segments from (9,−2) to (9,−11) and from (9,−11) to (15,−13).
The length of the segment from (9,−2) to (9,−11) can be calculated using the distance formula:
√[ (15-9)^2 + (-13 - (-11))^2]
= √[ (6)^2 + (-2)^2]
= √[ 36 + 4]
= √40
≈ 6.32 cm
The length of the segment from (9,−11) to (15,−13) can be calculated using the distance formula:
√[ (15-9)^2 + (-13 - (-11))^2]
= √[ 6^2 + (-2)^2]
= √[ 36 + 4]
= √40
≈ 6.32 cm
Therefore, the length of each of the two longest sides of the quadrilateral is approximately 6.32 cm.