Question

An earring design is shaped like a triangular pyramid. All the faces are equilateral triangles with side lengths of 14 millimeters. The slant height is 12.1 millimeters. What is the surface area of the earring (pls explain how u got the answer)

Answer 1

In the earring design described above, there are 4 equilateral triangles. The surface area is calculated by solving for the area of a single triangle and multiplying the answer by 4. The area of an equilateral triangle is calculated by the equation,
A = ((√3)/4)s²
Substituting 14 to s and multiplying the answer by 4
SA = √3 x (14 mm)² = 339.48 mm²
Thus, the surface area of the earring is approximately 339.48 mm².