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What is the lateral surface area of the equilateral triangular pyramid below?

What is the lateral surface area of the equilateral triangular pyramid below?-example-1
User Szbalint
by
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1 Answer

1 vote

\text{area}=192ft^2

Step-by-step explanation

as we can see we have 4 similar triangles, let


\begin{gathered} \text{area}=4\text{ times area of a triangle} \\ \end{gathered}

then,Let

base=12 ft

height=8 ft

the area of a triangle is given by:


\begin{gathered} \text{Area}_(triangle)=(base\cdot heigth)/(2) \\ \text{replace}, \\ \text{area}=4\text{ times area of a triangle} \\ \text{area}=4\text{(}\frac{base\cdot\text{height}}{2}) \\ \text{area=}4\text{ (}\frac{12\text{ ft}\cdot8\text{ ft}}{2}) \\ \text{area}=4((96)/(2)ft^2) \\ \text{area}=192ft^2 \end{gathered}

What is the lateral surface area of the equilateral triangular pyramid below?-example-1
User Mathias Bader
by
7.6k points

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