Triangle ABC is an equilateral triangle with side length AB=22. Place a point D on the line segment BC. Extend BC to the point E such that BD=CE. point E is defined as lying on BD and satisfying BD=CE.What is the value of DE?

Question

Triangle ABC is an equilateral triangle with side length AB=22. Place a point D on the line segment BC. Extend BC to the point E such that BD=CE. point E is defined as lying on BD and satisfying BD=CE.What is the value of DE?

Answer 1

22

A "much ado about nothing" question.

All 3 sides are equal and equal to 22
let BD = x
then CE = x
and DC = 22-x

DE = DC + CE
= 22 - x + x
= 22

Where does the fact that we have an equilateral triangle enter the picture?