Answer:
the total surface area of the prism is 245.67
Step-by-step explanation:
Given;
height of the triangular prism, h = 8
length of the triangular bases, = 7, 8, and 9
The total surface area of the prism is calculated as;
T.S.A = ph + 2B
Where;
p is the perimeter of the base
B is area of the base
P = 7 + 8 + 9 = 24
Area of the base can be calculated using Hero's formula;

T.S.A = (24 x 8) + 2 x 26.833
T.S.A = 192 + 53.666
T.S.A = 245.67
Therefore, the total surface area of the prism is 245.67
8.-12y^10 9.-15z^17 10.a^3b^3/125 11. 9x^2y^6/z^4
Another way to summarize this proof is to say vertical angles are congruent.
<h3>Vertical angles</h3>
Lines are shortest distance between two point and angles are forned from the intersection of two lines.
From the given figure, they are trying to prove that the angles ANR and VNE are equal. Since these angles are formed at the point of intersection, hence another way to summarize this proof is to say vertical angles are congruent.
Learn more on vertical angles here: brainly.com/question/14362353
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