Question

Find the distance between the points (2,6) and ( – 10, – 10)

Answer 1

20 units

Explanation:

This can be found one of two ways:

1. Plot the points. Create a right triangle with the segment connecting the two points as the hypotenuse. Use the Pythagorean theorem to find the length of that line segment.

OR

2. Use the Distance Formula, using the two points as (x₁,y₁) and (x₂,y₂):

`d=\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

`d=\sqrt{(-10-2)^(2)+(-10-6)^(2)}=\sqrt{(-12)^(2)+(-16)^(2)}=√(144+256)=√(400)`