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1. The diagram below shows twelve 30-60-90 triangles placed in a circle so that the hypotenuse of each triangle coincides with the longer leg of the next triangle. The fourth and last triangle in this diagram are shaded. The ratio of the perimeters of these two triangles can be written as m/n where m and n are relatively prime positive integers. Find m+n.

 

2. The midpoints of a regular hexagon are connected to form a smaller hexagon. The small hexagon has perimeter 2√3. What is the perimeter of the large hexagon?

 Dec 15, 2019
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You posted the same question yesterday and nobody answered it. Why? In my Opinion, because the problem is rather difficult and it doesn't help things when you describe the "diagram" in your book or assignment. Where is the "diagram"? You should learn to upload the picture with your question, then you would have a much better chance of getting it answered. Good luck to you.

 Dec 15, 2019

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