Question

Apply the Pythagorean Theorem to find the length between 2,-3 and 5,5 Round your answer to the nearest hundredth, if necessary.

(1 point)
Responses

8.54
8.54

7.62
7.62

11
11

73

Answer 1

The length between (2,-3) and (5,5) can be found using the Pythagorean Theorem.

The formula is: c^2 = a^2 + b^2, where c is the hypotenuse (length between the two points) and a and b are the lengths of the other two sides (the differences in the x and y coordinates).

In this case, the difference in the x coordinates is 5 - 2 = 3 and the difference in the y coordinates is 5 - (-3) = 8.

Using the Pythagorean Theorem, we have:

c^2 = 3^2 + 8^2
= 9 + 64
= 73

Taking the square root of both sides, we can find the length:

c = √73

Rounding to the nearest hundredth, the length between (2,-3) and (5,5) is approximately 8.54.