Question

find the centroid of the formed by the vertices (-3,-5) (-7,4) and (10,1)
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Answer 1

Answer:

A(-3,-5) B(-7,4)C(10,1)

$ab = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }$

$ab = \sqrt{( - 7 - ( - 3)) {}^{2} + (4 - ( - 5)) {}^{2} }$

$ab = \sqrt{( - 10) {}^{2} + ( - 1) {}^{2} }$

$ab = \sqrt{100+ 1}$

$ab = \sqrt{101}$

$bc = \sqrt{(10 - ( - 7)) {}^{2} + (1 - 4) {}^{2} }$

$bc = \sqrt{(3) {}^{2} + ( - 3) {}^{2} }$

$bc = \sqrt{9 + 9}$

$bc = \sqrt{18}$