Math Education Geometry Problem 862: Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square. Level. Level: School, College, Mathematics Education. Distance learning.

Online Geometry Problem 862: Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square. Level: High School, College, Mathematics Education

The figure below shows a trapezoid ABCD with EF parallel to BC = a, and AD = b. If area AEFD = area EBCF, prove that EF is the root mean square of a and b, that is, .

Problem862: Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square