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Ainat [17]
3 years ago
14

These three lengths create a triangle, true or false, will mark brainliest

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Question 9:

Answer: False

Step-by-step explanation: False. These sides will not create a triangle because the longest side equals the two other sides combined. 10=7+3. This will just be a line.

Question 10:

Answer: False

Step-by-step explanation: False. These sides will not create a triangle because the longest side equals the two other sides combined. 7=2+5. This will just be a line.

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What is CD?
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Answer:

(C)18 units

Step-by-step explanation:

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From Centroid Theorems, we know that the distance from the centroid to the vertex is twice as long as the distance from the centroid to the midpoint of the side opposite the vertex.

Therefore:

CG=2DG

Let the length of segment  DG =x

The length of  segment CG is 6 units greater, therefore: CG=x+6

Substituting into CG=2DG:

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2x-x=6

x=6 Units

Therefore:

CD=CG+GD

=6+6+6

=18 Units

<u><em>The correct option is C.</em></u>

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