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(RLT.G.3.a, 1 pt) Given the endpoints S((1, 8) and T(7,-9), calculate the length of line segment ST? 6 543-2-19 9 O A. 18.8

User Tometzky
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1 Answer

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To calculate the lenght of a line segment we should remember that the distance between two points is:


d(M,N)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}}

In this case, we have


\begin{gathered} d(S,T)=\sqrt[]{(7-1)^2+(-9-8)^2} \\ =\sqrt[]{(6)^2+(-17)^2} \\ =\sqrt[]{36+289} \\ =\sqrt[]{325} \\ =18.02 \end{gathered}

So that the length of the line segment is 18.02

User Hishaam Namooya
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