- #1
ovoleg
- 94
- 0
THE PROBLEM
given EAD = 15 degrees
ADE = 15 degrees
its a 10 by 10 square
you can only use geometry to solve this problem, NO TRIGONOMETRY. Supposedly it can be done...I've been trying!
angle ABC = angle DCE by symmetry
angle EBC = angle ECB by symmetry
angle ABC + angle EBC = angle DCE + angle ECB = 90 degrees
angle AEB = 75 degrees = DEC
angle AED = 150 degrees
given EAD = 15 degrees
ADE = 15 degrees
its a 10 by 10 square
you can only use geometry to solve this problem, NO TRIGONOMETRY. Supposedly it can be done...I've been trying!
The Attempt at a Solution
angle ABC = angle DCE by symmetry
angle EBC = angle ECB by symmetry
angle ABC + angle EBC = angle DCE + angle ECB = 90 degrees
angle AEB = 75 degrees = DEC
angle AED = 150 degrees