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.