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To create three different drawings showing a number of circles and triangles in which the ratio is 2:3 you can: Start with an equilateral triangle, draw a circle inside it, draw an equilateral triangle inside the circle, draw a circle in the triangle and then draw an equilateral tiangle in the smallest circle. Or, you could draw 3 triangles and 2 circles in a line. Or, you could draw 3 triangles on a line with 2 circles between them.
Yes, he created it in 459 B.C.
Semi circles cannot tessellate on their own because they do not have a consistent straight edge to fit together seamlessly without gaps or overlaps. In order to tessellate, a shape must be able to fill a plane without any overlaps or gaps. However, semi circles can be combined with other shapes to create a tessellation, such as alternating semi circles with squares or triangles.
Oh, what a happy little question! Unfortunately, those angles wouldn't make an equilateral triangle, but don't worry, mistakes are just happy accidents in the world of geometry. You'll find the right angles to create a beautiful equilateral triangle with all sides and angles equal in no time. Just keep on painting and exploring, my friend.
A compass.