01 Feb '20 01:19>2 edits
Begin with an equilateral triangle whose vertices are labeled "A,B,C" ( clockwise from bottom left)
Place another ( smaller ) equilateral triangle at "A" with vertices "A,D,E" such that "D" lies on line segment "BC", and line segment "DE" intersects line segment "AC" at "P".
What is angle "ACE"?
I'm getting hung up on this, not sure what obvious relationship I'm missing. Look forward to seeing the different proofs, and then discussing why my attempt fell short.
Reveal Hidden Content
Place another ( smaller ) equilateral triangle at "A" with vertices "A,D,E" such that "D" lies on line segment "BC", and line segment "DE" intersects line segment "AC" at "P".
What is angle "ACE"?
I'm getting hung up on this, not sure what obvious relationship I'm missing. Look forward to seeing the different proofs, and then discussing why my attempt fell short.
Reveal Hidden Content
I was hoping to prove that angle DAC was equivalent to angle DEC, proving triangles ADP and EPC were similar? I fell short of finding enough independent equations to achieve this.