Question

Apply the Pythagorean theorem to find the length between the two points. Round your answer to the nearest hundredths if necessary. B (5,-5) A (2,-3)

Answer 1

To find the length between two points, we can use the distance formula, which is derived from the Pythagorean theorem.

The distance formula is √((x₂ - x₁)² + (y₂ - y₁)²)

Here, (x₁, y₁) represents the coordinates of point A and (x₂, y₂) represents the coordinates of point B.

Given: A (2,-3) and B (5,-5)

So, (x₁, y₁) = (2,-3)
And, (x₂, y₂) = (5,-5)

Let's substitute these values into the formula:

Distance = √((5 - 2)² + (-5 - (-3))²)
= √(3² + (-5 + 3)²)
= √(9 + (-2)²)
= √(9 + 4)
= √13
≈ 3.61

Therefore, the length between the two points A (2,-3) and B (5,-5) is approximately 3.61.