# What is the distance between (2,5)  and (3, 9)?

Aug 5, 2016

As an exact value $\sqrt{17}$

As an approximate value $4.12$ to 2 decimal places

#### Explanation:

Think of this as a triangle where the line from (2,5) to (3,9) is the hypotenuse.

Let the length od the line be $L$

Using Pythagoras

$\implies {L}^{2} = {1}^{2} + {4}^{2}$

$\implies L = \sqrt{17} \text{ }$ note that 17 is a prime number