Question

Use the Pythagorean theorem to find the side length of square (-7,6) (-2,-6) (10,-1) (5,11) in feet

Answer 1

To find the side length of the square, we need to calculate the distance between any two opposite corners of the square.

Using the Pythagorean theorem, the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Let's calculate the distance between the points (-7, 6) and (10, -1):

Distance = √((10 - (-7))² + (-1 - 6)²)
= √(17² + (-7)²)
= √(289 + 49)
= √338
≈ 18.39 feet

Therefore, the side length of the square is approximately 18.39 feet.