# What is the perimeter of a triangle with corners at (1 ,4 ), (6 ,3 ), and (4 ,2 )?

Oct 9, 2017

Perimeter = 10.995

#### Explanation:

Let a, b, c be the sides. Sum of the three sides will give the perimeter.

$a = \sqrt{{\left(4 - 6\right)}^{2} + {\left(2 - 3\right)}^{2}} = \sqrt{5} = 2.236$
$b = \sqrt{{\left(4 - 1\right)}^{2} + {\left(2 - 4\right)}^{2}} = \sqrt{13} = 3.606$
$c = \sqrt{{\left(1 - 6\right)}^{2} + {\left(4 - 3\right)}^{2}} = \sqrt{26} = 5.099$

Perimeter $= a + b + c = 2.236 + 3.606 + 5.099 =$10.995