To find the length of the diagonal of the rectangle, we can use the distance formula.
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the two points on the diagonal of the rectangle are (-6, 8) and (4, -3).
Using the distance formula:
d = √((4 - (-6))^2 + (-3 - 8)^2)
= √((4 + 6)^2 + (-3 - 8)^2)
= √(10^2 + (-11)^2)
= √(100 + 121)
= √221
Rounding to the nearest hundredth, the length of the diagonal of the rectangle is approximately 14.87.
Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 10 to positive 10 in increments of 1. Unlabeled points are plotted at left parenthesis negative 6 comma 8 right parenthesis, left parenthesis 4 comma 8 right parenthesis, left parenthesis 4 comma negative 3 right parenthesis, and left parenthesis negative 6 comma negative 3 right parenthesis. A straight line joins the four points forming a rectangle.
What is the length of the diagonal of the rectangle? Round your answer to the nearest hundredth, if necessary.
(1 point)
1 answer
1 answer