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Trigonometry
Question

What should Carlotta do for her next step? is constructing an equilateral triangle. She has already constructed the line segment and arc shown.

Use the straightedge to draw a line that passes through point $$P$$ and intersects the arc.

Place the point of the compass on point $$Q$$ and draw intersects the first arc, using the same width for the opening of the compass as the first arc.

Use the straightedge to draw a line that passes through point $$Q$$ and intersects the arc.

Place the point of the compass on point $$Q$$ and draw opening of the compass that is less than $$\frac { 1 } { 2 } P Q .$$