
Laura B.
asked 09/12/12Can six congruent line segments make six congruent triangles?
I need to know if you can draw six congruent line segments in such a way that the result is six congruent triangles.
1 Expert Answer
JAY E. answered 07/09/23
Algebra 1, Algebra 2, Geometry, SAT/ACT/GED, Trigonometry
Hi
Yes you can.
Graph a circle, without changing the radius divide circumference of the circle into 6 equal parts. Connect Vertices to the Center of the circle. You have 6 equilateral triangles. Only on Hexagons radius is equal to the side of polygon
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Walter B.
I would disagree with Alice Z. If you position two equilateral triangles on top of each other but invert one… It would create 6 equilateral triangles. Although they are not the same size as one another, all these triangles would have equal sides. All lines should have at least one parallel line. And to make a triangle, the sum of the angles is 180. The sides that make each triangle would all be equal. There would be 4-6 smaller triangles on each end, and the two large triangles that had been placed on one another.07/06/23