Question

What is the distance between (0,5) and (3,9)?

Answer 1

5

Explanation:

The change in x from (0,5) to (3,9) is 3 - 0 which is 3. The change in y is 9 - 5 which is 4. Using the Pythagorean theorem (using the two points as the endpoints of the hypotenuse in a right triangle) we get:

`3^2+4^2=c^2` where c is the distance between the two points (the hypotenuse of the right triangle). The equation simplifies to:

`9+16=c^2`

Which simplifies to:

`√(25) =c`

Thus, c (the distance between (0,5) and (3,9) is 5.

Hope this helps :)