# Triangle ABC is graphed on a coordinate plane. find the length of AB?

Feb 20, 2018

$\sqrt{20}$ units.

#### Explanation:

The coordinates of $\text{A}$ from the given cartesian plane will be $\left(0 , - 1\right)$ and the coordinates of $\text{B}$ will be $\left(2 , 3\right)$.

Now, according to the distance formula

$d = \sqrt{{\left(2 - 0\right)}^{2} + {\left(3 - \left(- 1\right)\right)}^{2}}$

Mathematically:

$d = \sqrt{\left(2 - 0\right) \cdot \left(2 - 0\right) + \left(3 + 1\right) \cdot \left(3 + 1\right)}$

You will get the result

$d = \sqrt{4 + 16} = \sqrt{20}$