What is the distance between the following points?

1. A(-3,-2) B(3,6
2. C(8,-10) D(-2,14)
3. E(-2,5) F(1,-1)
4. G(-2,3) H(4,-1)
5. I(-5,2) J(1,-4)

Snrpatel102012-09-04T15:58:43Z

Favorite Answer

The Distance Formula:
√ [(x1 - x2)² + (y2 - y1)²]

Use that formula to answer your questions.

?2012-09-04T23:07:33Z

use the Pythagorean theorem.

See the diagram below.

See how the difference in x coordinates can be seen as representing one leg of a right triangle, and similarly, the difference in y coordinates gives the other leg?

Then the distance is the length of the hypoteneuse of the triangle.

Use the Pythagorean Theorem a^2 + b^2 = c^2 where a and b are legs of a right triangle and c is the hypoteneuse.

This is how the distance formula is derived.

I hope this helps