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You will need... A set of compasses (for drawing the circle), and a straight edge.

First, draw the circle. Then - put the point of the the compasses on the line. Mark the circle where the pencil crosses it. Place the point on this intersection and repeat the action until you're back at your starting point.

Now - using the straight edge, join every alternate point to each other - forming an equilateral triangle.

Q: How do you construct a equilateral triangle in a circle?

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No, you can't.

An equilateral triangle on on of the arms of the right angle.

Use trigonometry knowing that the angle will be 60 degrees

The equilateral triangle will have 3 equal sides of 35mm and 3 equal interior angles of 60 degrees.

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the sum of the angles of a plane triangle is always 180° In an equilateral triangle, each of the angles is = Therefore, the angles of an equilateral triangle are 60°

An equilateral triangle on on of the arms of the right angle.

Figure B. equilateral triangle (small circle) inside of isosceles triangle (big cirlce)

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