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What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?


19.2 units

22.3 units

27.4 units

36.0 units

What is the perimeter of the triangle shown on the coordinate plane to the nearest tenth of a unit 192 units 223 units 274 units 360 units class=

Respuesta :

DeanR

A(-4,-1), B(-1,7), C(6,3)

[tex]AB = \sqrt{(-1 - -4)^2 + (7--1)^2}=\sqrt{3^2+8^2}=\sqrt{73}[/tex]

[tex]BC = \sqrt{(6 - -1)^2+(7-3)^2}=\sqrt{49+16}=\sqrt{65}[/tex]

[tex]AC=\sqrt{(6 - -4)^2+(3--1)^2} = \sqrt{116}= 2 \sqrt{29}[/tex]

[tex]\textrm{perimeter} = \sqrt{73} + \sqrt{65} + 2 \sqrt{29} = 27.3766...[/tex]

Answer: 27.4