# What is the perimeter of a triangle with corners at (3 ,8), (1 ,1 ), and (4 ,3 )?

Oct 15, 2016

The perimeter is $\approx 16$

#### Explanation:

Add the distances between the three points:

$P = \sqrt{{\left(3 - 1\right)}^{2} + {\left(8 - 1\right)}^{2}} + \sqrt{{\left(4 - 1\right)}^{2} + {\left(3 - 1\right)}^{2}} + \sqrt{{\left(3 - 4\right)}^{2} + {\left(8 - 3\right)}^{2}}$

$P = \sqrt{53} + \sqrt{13} + \sqrt{26}$

$P = \sqrt{53} + \sqrt{13} + \sqrt{26}$

$P \approx 16$