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Find the perimeter of the polygon with the vertices U(-2,4), V(3,4) W(3,-4). Round your answer the nearest hundredths

Sagot :

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Answer:

22.43

Step-by-step explanation:

three points ==> it's a triangle

so we will just have to calculate the length of each side

U & V has the same y-coordinate, which means UV is a horizontal line ==>

UV = 3 - (-2) = 5

V & W has the same x-coordinate, which means VW is a vertical line ==>

VW = 4 - (-4) = 8

UW is not a horizontal line nor a vertical line, so we will have to calculate it using distance formula

UW = sqrt { [3 - (-2)]^2 + [-4 - 4]^2 } = sqrt{25 + 64} = sqrt(89) ~~ 9.43

so the perimeter of the polygon is UV + VW + UW = 5 + 8 + 9.43 = 22.43

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