A triangular pyramid and its net are shown. Rain uses Calculations below to conclude that the surface area of a triangular pyramid is 238.5 sq inches. Is rain correct? Use the drop down menus to explain your reasoning.

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Answer:

Rain is correct, calculates correctly, 238.5 square inches

Step-by-step explanation:

The given triangular pyramid is shown with the dimensions.

The surface area of the triangular pyramid is given by :

[tex]$A=\frac{1}{2}\left(a \times b\right) + 3\left(\frac{1}{2}\times b\times s\right)$[/tex]

[tex]$A=\frac{1}{2}\left(10 \times 8.7\right) + 3\left(\frac{1}{2}\times 10\times 13\right)$[/tex]

[tex]$A=43.5+(3\times 65)$[/tex]

[tex]$A=43.5+195$[/tex]

[tex]$A=238.5 \ \text{inche}^2$[/tex]

Therefore, the surface area of the triangular pyramid is = 238.5 square inches.

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