Question

(-6,-3) (4,-3) (4,8) (-6,8) what is the length of the diagonal of the rectangle. Round to nearest hundredth if necessary

Answer 1

To find the length of the diagonal, we can use the distance formula.

The distance formula is given by:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Using the given points, let's calculate the distances between opposite corners of the rectangle:

From (-6,-3) to (4,8):

distance = √((4 - (-6))^2 + (8 - (-3))^2)
= √((4 + 6)^2 + (8 + 3)^2)
= √(10^2 + 11^2)
= √(100 + 121)
= √221
≈ 14.87

From (4,-3) to (-6,8):

distance = √((-6 - 4)^2 + (8 - (-3))^2)
= √((-10)^2 + (8 + 3)^2)
= √(100 + 11^2)
= √(100 + 121)
= √221
≈ 14.87

The length of the diagonal is approximately 14.87 (rounded to the nearest hundredth).