Question

ABC is an equilateral triangle it's center is m , straight line (L) was drawn passing through the point m and in the plane of the triangle. Prove that "The sum of heights lengths squared drawn from the heads of the triangle on the line (L) equal a constant whatever the line (L) was."

Answer 1

the question is not so clear to me, could you draw it out showing what you mean by "heights lengths" and "heads of triangle" ?

Answer 2

@dan815 Why did u leave me
;(

Answer 3

head of triangle means A, B, C . Heights lengths : Like drawing perpendicular lines to the line L

Answer 4

@dan815 , Go help him dan

Answer 5

got it, thnks