Question

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Answer 1

Given data:

The given triangular pyramid.

The expression for the slant height is,

`\begin{gathered} L=\sqrt[]{(10)^2-((12)/(2)})^2 \\ =8 \end{gathered}`

The surface area of the triangular pyramid is,

`\begin{gathered} SA=\frac{\sqrt[]{3}}{4}(12)^2+(1)/(2)(12+12+12)8 \\ =36\sqrt[]{3}+144 \end{gathered}`

Thus, the surface area of the triangular pyramid is 144+36(3)^(1/3).