Mathematics
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OpenStudy (anonymous):
What's the lateral are of pentagonal pyramid.
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OpenStudy (anonymous):
OpenStudy (anonymous):
*area
OpenStudy (anonymous):
A regular pentagonal pyramid?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Lateral Area = The sum of the areas of the lateral (vertical) faces
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OpenStudy (anonymous):
or 1/2 the perimeter times the slant height
OpenStudy (anonymous):
OpenStudy (anonymous):
the slant height being the altitude of one of the lateral triangular faces
OpenStudy (anonymous):
The formula is: 1/2 × Perimeter × Base Length. This is because the sides are always triangles and the triangle formula is bh/ 2.
OpenStudy (anonymous):
So, 8*5=40,40/2=20,then 20*16?
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OpenStudy (anonymous):
sorry and the perimeter being the perimeter of the base
OpenStudy (anonymous):
We are not given perpensdicular height we are given slant height so we have to use pythogaras theorem to calculate the perpendicular height
OpenStudy (anonymous):
perpendicular*
OpenStudy (anonymous):
I got the height around 15.49
OpenStudy (anonymous):
|dw:1399083897383:dw|
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OpenStudy (anonymous):
16^2- 8^2 =x^2
256-64=x^2
192 = x^2
x=14 (approx)
OpenStudy (anonymous):
now use the given formula
OpenStudy (anonymous):
I got 56
OpenStudy (anonymous):
It is definitely 320.
OpenStudy (anonymous):
That's what I got when I used your thing, and it's an answer choice.
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OpenStudy (anonymous):
Using my formula, 1/2 x perimeter of the base x slant height, that would be 1/2 x (5x8) x 16.
OpenStudy (anonymous):
Thanks. :)