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Scilla [17]
3 years ago
12

Help asap please!! Will give brainliest!!

Mathematics
1 answer:
tatuchka [14]3 years ago
4 0

Answer:

5 units

Step-by-step explanation:

The points are:

A(-2, 5)

B(-2, -7)

C(-6, -4)

Considering the sides as vectors, we have:

\overrightarrow{AB}, \overrightarrow{AC},\overrightarrow{CB}

Once

\overrightarrow{AC} = C - A =(-6, -4) -(-2, 5) = (-6+2, -4-5) = (-4, -9)

\overrightarrow{AB} = B - A =(-2, -7) -(-2, 5) = (-2+2, -7-5) = (0, -12)

\overrightarrow{CB} = B - C =(-2, -7) -(-6, -4) = (-2+6, -7+4) = (4, -3)

\Vert \overrightarrow{AC} \Vert = \sqrt{x^2 + y^2}  = \sqrt{(-4)^2+(-9)^2} = \sqrt{16+81}= \sqrt{97}

\Vert \overrightarrow{AB} \Vert = \sqrt{x^2 + y^2}  = \sqrt{0^2+(-12)^2} = \sqrt{144}= 12

\Vert \overrightarrow{CB} \Vert = \sqrt{x^2 + y^2}  = \sqrt{4^2+(-3)^2} = \sqrt{16+9}= 5

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