[tex] \boxed {\text {Length = }\sqrt{(X_2-X_1)^2 + (Y_2-Y_1)^2}} [/tex]
The three lengths are:
[tex] \text {Length 1 = }\sqrt{(2-1)^2 +(7-4)^2} = \sqrt{10} [/tex]
[tex] \text {Length 2 = }\sqrt{(2-0)^2 +(7-5)^2} = \sqrt{8} [/tex]
[tex] \text {Length 3 = }\sqrt{(1-0)^2 +(4-5)^2} = \sqrt{2} [/tex]
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[tex] \text{Perimeter = } \sqrt{10} + \sqrt{8} + \sqrt{2} = 7.40 \text { (nearest hundredth)} [/tex]
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Answer: 7.40 units