Mathematics
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OpenStudy (shaleiah):
Geometry
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OpenStudy (shaleiah):
@welshfella
OpenStudy (welshfella):
fist find the area of a slanting triangle
area = 1/2 * base * height
what is the length of the base and height of these triangles
OpenStudy (welshfella):
they are both written on the diagram
OpenStudy (shaleiah):
7
4.8
OpenStudy (welshfella):
No, 7 is the length of the base - but the we want the height of one of the 5 triangles on the side of the pyramid.
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OpenStudy (welshfella):
4.8 is the length of the apothem of the pentagonal base of the pyramid
OpenStudy (shaleiah):
35.7
OpenStudy (welshfella):
what is that?
OpenStudy (welshfella):
- the area of one of the side triangles?
if so thats correct
OpenStudy (shaleiah):
1/2*7*10.2
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OpenStudy (welshfella):
ok so there are 5 of those right?
OpenStudy (shaleiah):
Yes
OpenStudy (welshfella):
so thats an area of 5 * 35.7 for the sides of the pyramid
OpenStudy (welshfella):
Now we need to find the area of the base
OpenStudy (welshfella):
|dw:1454536013299:dw|
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OpenStudy (welshfella):
as you see we can split it up into 5 trangles with bas 7 and height 4.8
so using the same formula as before we can find the area of each triangle
OpenStudy (shaleiah):
16.8
OpenStudy (welshfella):
right so multiply that by 5
then add it to the total area of the side triangles and we have the answer.
OpenStudy (welshfella):
OK?
OpenStudy (shaleiah):
16.8*5+178.5=262.5
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OpenStudy (welshfella):
yes thats what i got too
OpenStudy (shaleiah):
Thank you for your help, Welsh.
OpenStudy (welshfella):
yw