Question

The coordinates for the vertical of a quadrilateral are A(1, 3) B(4, 0), C( 1, -3) and D(-2, 0). What is the length of AB?

Answer 1

To find the length of AB in the given quadrilateral, we can use the distance formula, which calculates the distance between two points in a coordinate plane.

Given:

Point A(1, 3)

Point B(4, 0)

Using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B:

d = √((4 - 1)^2 + (0 - 3)^2)

Calculating:

d = √(3^2 + (-3)^2)

d = √(9 + 9)

d = √18

Simplifying the square root:

d = √(9 * 2)

d = 3√2

Therefore, the length of AB is 3√2.