Geometry classes, Problem 231. Triangle, Midpoints, Transversal, Perpendicular lines. Elearning.

Problem 231. Triangle, Midpoints, Transversal, Perpendicular lines

The figure shows a triangle ABC, D, E, and F are the midpoints of the sides, and t is a transversal line through the point E. If d, f, and c are the perpendiculars drawn from D, E, and C to the line t, respectively, prove that: c = d + f. View or post a solution.

Elearn 231: Triangle, transversal, midpoint

Problem 231 on Twitter:

Plot the MP's of a triangle's 3 sides. Draw ANY LINE through 1 MP & drop perpendiculars (as shown). Why do the shorter 2 perpendiculars ALWAYS SUM to the longest 😮? Source: @gogeometry. https://t.co/bhkPee2to8 @geogebra #MTBoS #ITeachMath #geometry #math #maths #EdTech #proof pic.twitter.com/Iq7jqleXP2
— Tim Brzezinski (@Brzezinski_Math) October 10, 2019