Question

Solve for the Surface Area of the triangular pyramid. The base is an equilateral triangle.Surface Area =

Answer 1

Answer:

44 square mm

Explanation:

The surface area of the triangular pyramid is the sum of the surface areas of the 4 triangles.

Since the base is an equilateral triangle, the surface area:

$S.A.=\text{Area of Base Triangle+3(Area of One side)}$

Base Area

$A=\frac{1}{2}bh=\frac{1}{2}\times4\times1=2\operatorname{mm}^2$

Area of one side

$A=\frac{1}{2}bh=\frac{1}{2}\times4\times7=14\operatorname{mm}^2$

Thus, the surface area is:

$\begin{gathered} S\mathrm{}A\mathrm{}=2+3(14) \\ =2+42 \\ =44\operatorname{mm}^2 \end{gathered}$

The surface area is 44 square mm.