Question

Apply the Pythagorean Theorem to find the length between (1,5) and (4, 8) . Round your answer to the nearest hundredth, if necessary.(1 point) Responses 8.06 8 point 0 6 3 3 18 18 4.24

Answer 1

To find the distance between two points (x₁, y₁) and (x₂, y₂), we use the Pythagorean Theorem formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Plugging in the values from the given points, we get:

d = √((4 - 1)² + (8 - 5)²)
= √(3² + 3²)
= √(9 + 9)
= √18
≈ 4.24

Therefore, the length between (1,5) and (4,8) is approximately 4.24.