Let A(x 1 , y 1 ) and B(x­, y 2 ) be in any two points in the plane. (a) Plot these points, (b) Obtain the right triangle formed by drawing a horizontal line from A and a vertical line through B. What...

Let A(x₁, y₁) and B(x­, y₂) be in any two points in the plane. (a) Plot these points, (b) Obtain the right triangle formed by drawing a horizontal line from A and a vertical line through B. What are the coordinates of the point at which these two lines intersect? (c) Using the theorem of Pythagoras, derive the distance formula.