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

2 answers

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.
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