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2 years ago

Given the two vertices and the centroids of a triangle, how many possible locations are there for the third vertex?

Mathematics

1 answer:

hoa [83]2 years ago

7 0

Answer:

Step-by-step explanation:

The centroid is the average of the coordinates of the three vertices. If you know two vertices (A and B) and the centroid (Q), then the third vertex (C) is ...

C = 3Q -A -B

It has only one possible location.

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dedylja [7]

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answer
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2 years ago

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LenKa [72]

Answer:

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iVinArrow [24]

$\fbox{Solution by using Matrix}$

$\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20$

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$\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right]$

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$\text{ Simplify rows}$

$\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right]$

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$\text{ Simplify rows}$

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$x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}$

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Read 2 more answers

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sergey [27]

Answer:

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