Apply the Pythagorean Theorem to find the length between (3,2) and (7,8) points. Round the answer to the nearest hundredth
To find the length between two points using the Pythagorean Theorem, you can use the formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Given the points (3,2) and (7,8), we can substitute the values into the formula:
d = √((7 - 3)² + (8 - 2)²)
Simplifying:
d = √(4² + 6²)
d = √(16 + 36)
d = √52
Rounding the answer to the nearest hundredth:
d ≈ 7.21
Therefore, the length between (3,2) and (7,8) is approximately 7.21 units.