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What is the length of an edge of a regular pyramid with the base of an [#permalink]
Expert Reply
Each face of the pyramid has an area of \(\frac{96}{4}=24\)

Now we could calculate each side of each triangle the pyramid is formed of


Attachment:
pyramid.jpg
pyramid.jpg [ 10.77 KiB | Viewed 316 times ]



Using the ratio of the triangle 30:60:90

\(h=\frac{\sqrt{3}}{2}c, a=\frac{1}{2}c\)

Now use the area of the triangle

\(24=\frac{1}{2}*c*\frac{\sqrt{3}}{2}c\)


\(24*\dfrac{4}{\sqrt{3}}=c^2\)

\(c=7.44\)
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Re: What is the length of an edge of a regular pyramid with the base of an [#permalink]
Carcass wrote:
Each face of the pyramid has an area of \(\frac{96}{4}=24\)

Now we could calculate each side of each triangle the pyramid is formed of


Attachment:
pyramid.jpg



Using the ratio of the triangle 30:60:90

\(h=\frac{\sqrt{3}}{2}c, a=\frac{1}{2}c\)

Now use the area of the triangle

\(24=\frac{1}{2}*c*\frac{\sqrt{3}}{2}c\)

Thanks a bunch!


\(24*\dfrac{4}{\sqrt{3}}=c^2\)

\(c=7.44\)
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Re: What is the length of an edge of a regular pyramid with the base of an [#permalink]
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