Use the image to answer the question. Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary. (1 point) Responses 73 73 11 11 8.54 8.54 7.62
The length between the two points can be found using the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In the given image, we can see a right triangle with two sides labeled as 7.62 and 8.54.
Using the Pythagorean Theorem, we can calculate the length of the hypotenuse (the distance between the two points):
hypotenuse^2 = 7.62^2 + 8.54^2
hypotenuse^2 = 58.1444 + 72.6916
hypotenuse^2 ≈ 130.836
To find the length of the hypotenuse, we can take the square root of 130.836:
hypotenuse ≈ √130.836
hypotenuse ≈ 11.44 to the nearest hundredth.
Therefore, the length between the two points is approximately 11.44.