Respuesta :
Answer:
81 cm²
Step-by-step explanation:
Since, the lateral face of a triangular pyramid is a triangle,
Given,
The base edge or the base of one lateral face of pyramid, a = 6 cm,
And, the slant height or the height of the face, k = 9 cm,
Thus, the area of one lateral face of the pyramid,
[tex]A=\frac{1}{2}\times a\times k[/tex]
[tex]=\frac{1}{2}\times 6\times 9[/tex]
[tex]=\frac{54}{2}[/tex]
[tex]=27\text{ square cm}[/tex]
We know that, a Regular triangular pyramid has 3 lateral faces,
Hence, the total lateral area of the pyramid,
[tex]L.A.=3\times\text{ The area of one lateral face}[/tex]
[tex]=3\times 27[/tex]
[tex]=81\text{ square cm}[/tex]
Answer:
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Step-by-step explanation: