Question

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

100
100

14
14

10
10

9.22

Answer 1

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

c = √((x₂ - x₁)² + (y₂ - y₁)²)

Considering the points (-1, 6) and (5, -2), the formula becomes:

c = √((5 - (-1))² + (-2 - 6)²)

Simplifying, we get:

c = √((6)² + (-8)²)

c = √(36 + 64)

c = √100

Hence, the length between the given points is 10.