Question

Apply the Pythagorean theorem to find the link between two points round your answer to the nearest hundredth b(5,5) a(2,-3)

Answer 1

To find the distance between two points (b and a) using the Pythagorean theorem, we need to use their x and y coordinates.

Let's label the x-coordinate of point b as x₁ (x₁ = 5) and the y-coordinate of point b as y₁ (y₁ = 5).

Similarly, let's label the x-coordinate of point a as x₂ (x₂ = 2) and the y-coordinate of point a as y₂ (y₂ = -3).

Then, the distance (d) between points b and a can be calculated as:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the values:

d = √((2 - 5)² + (-3 - 5)²)
= √((-3)² + (-8)²)
= √(9 + 64)
= √73

Rounding to the nearest hundredth, the distance between points b(5,5) and a(2,-3) is approximately 8.54.