What are the coordinates of the centroid of a triangle with vertices X(β4, 0) , Y(β1, 4) , and Z(2, 2) ? Enter your answer in the boxes.
Question
Answer:
[tex]distance \: xy \: = \sqrt{( { (3)}^{2} + {(4)}^{2} ) } \\ = \sqrt{(9 + 16)} = \sqrt{25} = 5[/tex]
[tex]distance \: xz \: = \sqrt{( {(2)}^{2} + {(6)}^{2} ) } \\ = \sqrt{(4 + 36)} = \sqrt{40} \\ = \sqrt{4} \times \sqrt{10} = 2 \sqrt{10} [/tex]
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9 months ago
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