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3 years ago

Tracy found the length of GF. Her work is shown below.

Mathematics

2 answers:

Sveta_85 [38]3 years ago

3 0

she used GF=2BG,but the statement is correct BG=2GF

Inessa05 [86]3 years ago

3 0

we know that

The centroid of a triangle is the intersection of the three medians of the triangle. The coordinates of the centroid are also two-thirds of the way from each vertex along that segment

in this problem

The point G is the centroid of the triangle ABC

$AG=2GE$ ------> equation A

we have

$AG=16\ GE=2x$

substitute in the equation A and solve for x

$16=2*(2x)$

$16=4x$

$x=4$

$BG=2GF$ ------> equation B

we have

$BG=8x$

substitute in the equation B and solve for GF

$8x=2GF$

$GF=4x$

substitute the value of x

$GF=4*4=16$

therefore

the answer is

She used $GF=2BG$ , but the correct statement is $BG=2GF$

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