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Applying the centroid theorem of a triangle, the length of CG is: 26.
<em><u>Recall:</u></em>
- Medians join the vertices to the midpoint of the opposite sides of a triangle.
- The center that all the three medians intersect at is called the centroid.
- Based on the centroid theorem, the distant from the centroid to the vertex = 2/3 of the median length.
Triangle ABC is shown in the image attached below. G is the centroid.
CF = 39 (median)
CG = 2/3(CF) ---> Centroid Theorem.
- Substitute
CG = 2/3(39)
CG = 26
Therefore, applying the centroid theorem of a triangle, the length of CG is: 26.
Learn more about centroid theorem on:
Answer:
0
Step-by-step explanation:
So we have the expression:
And we want to evaluate it for x=-4 and y=8.
So, substitute:
Multiply:
Add:
Evaluate:
So, our answer is 0.
And we're done!