Ask a question

What is the distance between the points (2, 1) and (14, 6) on a coordinate plane?

Geometry help please...

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Betsy S. | Mathematics TutorMathematics Tutor
5.0 5.0 (1 lesson ratings) (1)
Hi Selena,
I would think about this in a visual way.  When you have 2 points you can make a right triangle where the distance between the points is the hypotenuse of that triangle.  
the difference in the x coordinates of these points is 14-2=12, so 12 will be the length of the triangle in the x direction.  Next the difference in y coordinates is 6-1=5, so 5 is the height of the right triangle in the y direction.
Now all you are left to do is find the hypotenuse of this triangle which has sides of 12 and 5.
where a=12 and b=5, now solve for c
I hope this helps!