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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)
2 Answers
- Snrpatel10Lv 69 years agoFavorite Answer
The Distance Formula:
√ [(x1 - x2)² + (y2 - y1)²]
Use that formula to answer your questions.
- Josh KLv 69 years ago
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
