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VashaNatasha [74]
3 years ago
12

he surface area of this triangular pyramid, whose base and lateral faces are congruent equilateral triangles, is square inches.

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0
If we have triangular pyramid with a side of s and all the faces and the base are equilateral triangles, then the formula for the total surface area is
SA = 3As + Ab
Where As is the area of the three faces
and
Ab is the area of the base
Since the triangles are equilateral, the surface area in terms of s is
SA = 3 (√3/ 4) s² + √3/ 4 s²
SA = √3 s²
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