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22-05-2024 12:56
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Season 90 · Week 8 · Day 51
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Maths Question - Need Help

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Ok, here it is :

"All the triangles in the figure below are equilateral and the area of the shaded Triangle is 5cm squared."

http://4.bp.blogspot.com/_PnLYRqe0k9g/SnXtrcvf_nI/AAAAAAAAAKk/RRtqQiVRVqw/s320/Base+4+Triangle+units.png

In my diagram the shaded area is triangle 7.

"i) What is the area of the whole figure ?"

I was able to work this and the answer is 80cm squared, but I don't know the following :

"ii) Find the length of the side of the largest triangle in the figure (1 d.p.)

The largest triangle in the figure can be folded along the dotted lines to form a triangular pyramid.

iii) If the volume of this pyramid is 37cm cubed, determine the height of the pyramid ( correct to the nearest cm cubed )

iv) Explain why the value obtained in part iii is not the exact value of the height."
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Re: Maths Question - Need Help

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btw, the dotted line is the perimeter of the triangles 7,12 and 14.

Re: Maths Question - Need Help

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The largest triangle in the figure is the one made up of all the other triangles.

By rearranging the formula derived on this webpage http://www.basic-mathematics.com/area-of-an-equilateral-triangle.html you can use the fact you know the area to work out the length of the side.

Re: Maths Question - Need Help

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Solid possibilities for a reply.

The answer is 42.

Everything is Everything, and that is 1.

Everything is Nothing, and that is 0.

Everything is one, but everything is also nothing, hence the answer lies between 0 and 1, possibly "2.43". Yea, it's not between 0 and 1 on YOUR scale, but on mine...

Re: Maths Question - Need Help

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Thanks guys :)
 
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