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devlian [24]
3 years ago
5

Need the answers please and thank you

Mathematics
1 answer:
spayn [35]3 years ago
8 0
Area of the base is 24 in^2

Volume of the triangular pyramid is 80 in ^3
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In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet.
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Where R is the median between Q and L:

From my understanding of a triangle's centroid, it divides an angle bisector into parts of 2/3 and 1/3. In the given problem, these divisions are NS and SR. Therefore, twice SR would be equal to NS. From here, we can get the value of X, to solve for SR.

NS = 2SR
(x + 10) = 2(x + 3)
x + 10 = 2x + 6
x = 4

Therefore, SR = (x + 3) = 7
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