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What is Geometry Proof Case #5: Triangle Dispute about?

Two astronomers discovered a new constellation that they disagreed on the shape of. One said it formed an equilateral triangle, while the other said it was isosceles. They took their dispute to court, each hiring a mathematician to represent them and prove whether the triangle was equilateral or isosceles using geometry. In court, one mathematician presented that the triangle was isosceles through stating given properties of the sides and angles.

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api-359183899

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EN