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Which segment has a length of exactly 5 units? 5+ 4+ R 3+ S 2+ -6-5-4-3-2 1 2 3 4 -1 -24 N Q 2 三

Which segment has a length of exactly 5 units? 5+ 4+ R 3+ S 2+ -6-5-4-3-2 1 2 3 4 -1 -24 N-example-1
User DanMatlin
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1 Answer

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20 votes

The coordinate of point Z is (1,-2).

The coordinate of point S is (2,2)

The coordinate of point T is (5,-2).

The coordinate of point Q is (-2,-6).

The coordinate of point R is (-4,3).

The distance ZQ can be determined as,


\begin{gathered} ZQ=\sqrt[\square]{(-2-1)^2+(-6-(-2))^2} \\ ZQ=\sqrt[]{9+16} \\ ZQ=5 \end{gathered}

Thus, QZ is the correct solution.

User Cocoatoucher
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