SMRTR Science & EngineeringFeb 26, 2025John D. Cook

Do perimeter and area determine a triangle?

SMRTR summary

Triangles with the same perimeter and area are not necessarily similar. This misconception is disproven by counterexamples, such as the triangles with sides (20, 21, 29) and (17, 25, 28), which both have perimeter 70 and area 210 but different shapes.

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