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
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.
To find the length of the diagonal of the rectangle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that the square of the length of the hypotenuse (in this case, the diagonal) is equal to the sum of the squares of the lengths of the two other sides.
In the given image, we can see that the length of one side of the rectangle is 10 units and the length of the other side is 6 units.
So, let's label the sides of the rectangle: the length as "a" and the width as "b". Using the Pythagorean Theorem, we have:
a² + b² = c²
Plugging in the values we have:
10² + 6² = c²
100 + 36 = c²
136 = c²
Now, we need to find the square root of 136 to get the length of the diagonal.
√136 ≈ 11.66
Rounding to the nearest hundredth, the length of the diagonal of the rectangle is approximately 11.66 units.
Therefore, the answer is: 11.66 units.