Shyam69
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The diagram shows a regular hexagon made from six equilateral triangles. Each side is 10cm. The angle ACB is right angle.

Show that AC=8.66cm correct to 3 significant figures.Name:  5E107C44-A614-4907-8B3A-423E2ADD9A95.png
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Last edited by Shyam69; 4 weeks ago
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Nagromicous
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Don't just post a whole question without context or what you've tried. Is this a year 7 question? GCSE?
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adhfdhdfhf
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I think you have to use interior and exterior angles, I remember learning them for IGCSE
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Shyam69
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(Original post by Nagromicous)
Don't just post a whole question without context or what you've tried. Is this a year 7 question? GCSE?
I need help this a foundation GCSE question. I’m in y11
Last edited by Shyam69; 4 weeks ago
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Nagromicous
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(Original post by Shyam69)
I need help this a foundation GCSE question
And what have you tried? Have you studied any trigonometry before?
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0le
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Saying you "need help" does not tell anyone anything. You need to say where you need help.

The question tells you that they are equilateral triangles. There are some properties of such triangles that will allow you to fill in some angles here. Once you do this, it becomes a simply trigonometry problem.
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deskochan
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There is one direction:

1. Equilateral triangle, the sides of the triangle are the same 10 cm.
2. AC is a perpendicular bisector to the base and you get the length of BC (think about the proof).
3. Get AC through the Pythagorean theorem.
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emrands
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so to work out the angles in a hexagon

use the formula (number of sides-2) x 180
6-2 = 4
4 x 180 = 720
720 / 6 = 120
so 120 degrees is for one angle
the triangle's angles are half this so 120/2 = 60

I then used soh cah toa to work this out
so 10cm = hypotenuse and AC is the opposite
so sin(60) x 10 = 8.66

hope this helps. there are other ways to work this out but this is how i'd approach it.
helps to understand the basic trigonometry
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deskochan
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(Original post by ts6232)
AC is already given to us as 8.66 so the probable solution would be to input 8.66 and 10 into pythagoras' theroem and get BC
AC is not given to us but we need to prove AC = 8.66.
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0le
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Yet another thread where people just post the full solution ...
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Nagromicous
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(Original post by 0le)
Yet another thread where people just post the full solution ...
People can't seem to turn up the opportunity to show how smart they are by their ability to answer a GCSE foundation maths question.
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davros
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(Original post by 0le)
Yet another thread where people just post the full solution ...
Not only that but some of them take the value they're supposed to be finding and use it to calculate something that isn't asked for!
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