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Use the Pythagorean theorem to find the length of this segment.

Use the Pythagorean theorem to find the length of this segment.-example-1
User Ihji
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To find the length of the segment use the Pythagoras theorem below:


AC^2=AB^2+BC^2

From the graph, we have:

AB = 15 - 3 = 12

BC = 7 - 2 = 5

Let's solve for the length of the segment AC:


\begin{gathered} AC^2=12^2+5^2 \\ \\ AC^2=144+25 \\ \\ AC^2=169 \end{gathered}

Take the square-root of both sides:


\begin{gathered} \sqrt[]{AC^2}=\sqrt[]{169} \\ \\ AC\text{ = 13} \end{gathered}

Therefore, the length of this segment is 13

ANSWER:

13

Use the Pythagorean theorem to find the length of this segment.-example-1
User SagiZiv
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