Geometry classes, Problem 223. Viviani's Theorem, Isosceles Triangle, Altitude, Distance. Math teacher Master Degree. College, SAT Prep. Elearning, Online math tutor, LMS.

Problem 223. Viviani's Theorem, Isosceles Triangle, Altitude, Distance

In an isosceles triangle ABC (AB = BC), the sum of the distances from any point on AC to the equal sides is equal to the altitude of the equal sides. View or post a solution.

Viviani theorem, Isosceles triangle

The theorem is named for Vincenzo Viviani (1622-1703), a pupil of Galileo and Torricelli, who is also remembered for a reconstruction of a book on the conic sections of Apollonius and for finding a way of trisecting an angle through the use an equilateral hyperbola.