Answer:
13.83
Step-by-step explanation:
[tex]hf = \sqrt{({6 - 6 })^{2} +( {2 - 5)}^{2} }[/tex]
[tex] = \sqrt{0 + {( - 3)}^{2} } [/tex]
[tex] = \sqrt{0 + 9} = \sqrt{9} = 3[/tex]
[tex]gf = \sqrt{ {(6 - 1)}^{2} + {(2 - 2)}^{2} } [/tex]
[tex] = \sqrt{ {5}^{2} + {0}^{2} } [/tex]
[tex] = \sqrt{ {5}^{2} } = 5[/tex]
[tex]gh = \sqrt{ {(6 - 1)}^{2} + {(5 - 2)}^{2} } [/tex]
[tex] = \sqrt{ {5}^{2} + {3}^{2} } [/tex]
[tex] \sqrt{25 + 9} [/tex]
[tex] = \sqrt{34} = 5.83[/tex]
perimeter = 3+5+5.83 = 13.83