Distance and the Pythagorean Theorem Practice%0D%0AComplete this assessment to review what you've learned. It will not count toward your grade.%0D%0A3 of 53 of 5 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0A %0D%0AWhat is the length of the diagonal of the rectangle? Round your answer to the nearest hundredth, if necessary.%0D%0A%0D%0A(1 point)%0D%0A units
3 answers
Without the image, it is not possible to determine the length of the diagonal of the rectangle. Please provide the image or more information about the rectangle.
-6,8 4,8 4,-3 -6,-3
To find the length of the diagonal of the rectangle, we can use the Pythagorean Theorem.
Let's label the points of the rectangle:
A = (-6, 8)
B = (4, 8)
C = (4, -3)
D = (-6, -3)
To find the length of the diagonal, we can find the distance between points A and C (or B and D) using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using points A and C:
Distance AC = √((-6 - 4)^2 + (8 - (-3))^2)
= √((-10)^2 + (11)^2)
= √(100 + 121)
= √(221)
≈ 14.87 units
Therefore, the length of the diagonal of the rectangle is approximately 14.87 units.
Let's label the points of the rectangle:
A = (-6, 8)
B = (4, 8)
C = (4, -3)
D = (-6, -3)
To find the length of the diagonal, we can find the distance between points A and C (or B and D) using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using points A and C:
Distance AC = √((-6 - 4)^2 + (8 - (-3))^2)
= √((-10)^2 + (11)^2)
= √(100 + 121)
= √(221)
≈ 14.87 units
Therefore, the length of the diagonal of the rectangle is approximately 14.87 units.
1 answer