Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2) . Round your answer to the nearest hundredth, if necessary.

Question

A. 9.22

B. 10

C. 14

D. 100

Answer 1

To find the length between two points using the Pythagorean Theorem, we can use the formula:

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Using the given points, we have:

x1 = -1 y1 = 6
x2 = 5 y2 = -2

Substituting these values into the formula, we get:

d = sqrt( (5 - (-1))^2 + (-2 - 6)^2 )
= sqrt( (6)^2 + (-8)^2 )
= sqrt( 36 + 64 )
= sqrt( 100 )
= 10

Therefore, the length between the two points is 10, which corresponds to option B.