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Mathematics 19 Online
OpenStudy (anonymous):

MEDAL & FAN ANYBODY ? Using the construction for congruent line segments, an equilateral triangle may be constructed by: a. Constructing three segments of equal length on three sheets of paper then tracing over them to form a triangle. b. Setting compass separation to the length of the line segment, drawing two circles centered at endpoints of the segment, and drawing segments from the endpoints to an intersection of the two circles. c. Constructing circles of radii equal to twice and three times the length of the segment. d. Measuring three 60° angles with your protractor.

OpenStudy (anonymous):

b. For an equilateral triangle you need all sides the same length. Both circles have the same radius so any line drawn from either endpoint of the starting line segment will be equal length so connecting the point where the 2 circles cross will be the same length as the starting line segment, giving you an equilateral triangle. hope that makes sense

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