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3 years ago

Which segment is a median of triangle GFH

Mathematics

1 answer:

LuckyWell [14K]3 years ago

8 0

Answer:

The segment GT is a median of triangle GFH

Step-by-step explanation:

we know that

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

The angle bisector of a triangle is a line segment that bisects one of the vertex angles of a triangle.

In this problem

SH represent a line segment that bisects the vertex angle H of triangle GFH, so represent an angle bisector.

GT represent a median of triangle GFH, because the point T is the midpoint of segment FH (FT=TH)

therefore

The segment GT is a median of triangle GFH

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$\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}$

Step-by-step explanation:

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Here we need to substitute the different values of x , to get the different values of y.

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$\rm\implies y = -1^2-1-6\\$

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$\rm\implies y = 9 +3-6\\$

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$\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}$

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