Regular triangular pyramid has 6 cm long base edge and slant height k=9 cm. Find the lateral area of the pyramid.
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,
\(A=\frac{1}{2}\times a\times k\)
\(=\frac{1}{2}\times 6\times 9\)
\(=\frac{54}{2}\)
\(=27\text{ square cm}\)
We know that, a Regular triangular pyramid has 3 lateral faces,
Hence, the total lateral area of the pyramid,
\(L.A.=3\times\text{ The area of one lateral face}\)
\(=3\times 27\)
\(=81\text{ square cm}\)
Answer:
hiiii your answer is 81!!
Step-by-step explanation: