Given the coordinates(9,-2), (9-11), (15,-4) and (15,-13) what is the length of each of two longest sides of the quadrilateral in cm

1 answer

To find the lengths of the two longest sides of the quadrilateral with coordinates (9,-2), (9,-11), (15,-4), and (15,-13), we must first identify the distances between each pair of points.

The four sides of the quadrilateral are:
1. Side 1: Between points (9,-2) and (9,-11)
2. Side 2: Between points (9,-11) and (15,-13)
3. Side 3: Between points (15,-13) and (15,-4)
4. Side 4: Between points (15,-4) and (9,-2)

Calculating the lengths of the sides:
1. Side 1: √((9-9)^2 + (-11-(-2))^2) = √(0 + 81) = √81 = 9 cm
2. Side 2: √((15-9)^2 + (-13-(-11))^2) = √(36 + 4) = √40 ≈ 6.32 cm
3. Side 3: √((15-15)^2 + (-4-(-13))^2) = √(0 + 81) = √81 = 9 cm
4. Side 4: √((9-15)^2 + (-2-(-4))^2) = √(36 + 4) = √40 ≈ 6.32 cm

The two longest sides are 9 cm and 9 cm.