Question

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.
point 1 : ( 7, 8 )
point 2 : ( 3 , 2 )

Answer 1

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

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) represents the coordinates of point 1 and (x₂, y₂) represents the coordinates of point 2.

In this case, point 1 is (7, 8) and point 2 is (3, 2). Plugging these values into the formula, we get:

d = √((3 - 7)² + (2 - 8)²)
= √((-4)² + (-6)²)
= √(16 + 36)
= √52
≈ 7.21

Therefore, the length between the two points is approximately 7.21 when rounded to the nearest hundredth.