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If A(1,2). B(5,-4) and C(-3,2) are the vertices of a triangle, which statement holds true?

If A(1,2). B(5,-4) and C(-3,2) are the vertices of a triangle, which statement holds-example-1

2 Answers

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Answer: Triangle ABC is scalene because all side lengths of the triangle are different.

Step-by-step explanation: does anyone know any free sites to get all Plato answers?

specifically the end of semester ones

User TOGEEK
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5 votes

Solution:

Given the vertices;


A(1,2),B(5,-4).C(-3,2)

Then;


\begin{gathered} |AB|=√((-4-2)^2+(5-1)^2) \\ \\ |AB|=2√(13) \\ \end{gathered}

Then;


\begin{gathered} |BC|=√((2-(-4))^2+(-3-5)^2) \\ \\ |BC|=10 \end{gathered}
\begin{gathered} |AC|=√((2-2)^2+(-3-1)^2) \\ \\ |AC|=4 \end{gathered}

User Romin
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