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Mathematics 18 Online
OpenStudy (shaleiah):

Geometry

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.

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

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|

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

OpenStudy (welshfella):

yes thats what i got too

OpenStudy (shaleiah):

Thank you for your help, Welsh.

OpenStudy (welshfella):

yw

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