Distance Formula and the Coordinate Plane
Distance Formula
Distance Formula Explanation
The distance formula is used to determine the distance, f, between two points. ... The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. But in this explanation, you use the two points that you were given and make the two sides of the right triangle then rooting the two sides to lead into the Pythagorean Theorem.
(ex.)- Timmy saw a bird fly to the top of the tree (8,6) from where he was standing (1,2). How far did the bird fly?
Distance Formula (Pythagorean Theorem)
Distance Formula (Pythagorean Theorem) Explanation
For this explanation, we use the Pythagorean Theorem. This formula is. This formula can only be used on right triangles. The formula correlates A, B, and C to different sides on the triangle. C being the hypotenuse. With this formula, you plug in the two sides that you have and you can then square them, add them together and the root them back to get the answer.
(ex.)Timmy saw a bird fly to the top of the tree from where he was standing. He knew that the tree was 4 units high and was 7 units away from him. How far did the bird fly?