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Stells [14]
3 years ago
7

Find the surface area of this triangular prism.

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

Answer:

96

Step-by-step explanation:

A=Area

Using the formulas

A= 2A_{b} +(a+b+c)h\\A_{b} = \sqrt{s(s-8)(s-10)(s-6)} \\s= \frac{8+10+6}{2}

Solving for A

A=ah+bh+ch+\frac{1}{2}*\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}

A=8(2)+10(2)+6(2)+\frac{1}{2}*\sqrt{-8^{4} +2*(8*10)^{2} +2*(8*6)^{2}-10^{4} +2*(10*6)^{2}-6^{4} }A=96

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<em>Greetings from Brasil...</em>

Let's add all the values on one side and make it equal to the sum of all the other values on the other side

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substitute

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