EntityQ2226868· pop 18· linked from 170 articlesgeometric mean theoremSign in to savetheorem that, in a right triangle, the altitude equals the geometric mean of the the two line segments on the hypotenuse created by the altitudeConnectionsElementsEntityDiophantus of AlexandriaEntityThales' theoremEntitycompass and straightedge constructionEntityArchimedesEntitynumberEntityPythagorasEntityEuclidEntityarithmeticEntityInternational Standard Book NumberEntityThalesEntityDemocritusEntityPythagorean theoremEntityPtolemyEntityHypatiaEntityAnaxagorasEntityEratosthenesEntityradiusEntitygolden ratioEntityZeno of EleaEntityCategoriesAncient Greek mathematicsAreaEuclidean plane geometryHistory of geometryTheorems about right triangles