Geometry Problem 1075: Quadrilateral, Right Triangle, 90 Degrees, Isosceles, Midpoint, Distance. Level: High School, SAT Prep, College, Mathematics Education

The figure shows a quadrilateral ABCD with angle ABC equals to 90 degrees, BD = CD, and AD = 6. Find the distance between the midpoints of BD and AC.

$Infographic Geometry problem: Triangle, Altitudes, Interior Point, Distance, Ratio$

"There is geometry in the humming of the strings. There is music in the spacing of the spheres."
Pythagoras. ca.560-ca.480 BC.