ABCDE is a regular pentagon.
Show that triangle ABC is congruent  to triangle AED.

Asked by pankaj.shukla2 | 27th Oct, 2017, 05:00: PM

Expert Answer:

begin mathsize 16px style Since space ABCDE space is space straight a space regular space pentagon comma space all space sides space and space angles space are space equal.
In space triangle ABC space and space triangle AED comma
AB equals AE space space space space left parenthesis sides space of space straight a space regular space pentagon right parenthesis
angle ABC equals angle AED space space space space left parenthesis Angles space of space straight a space regular space pentagon right parenthesis
BC equals ED space space space space space left parenthesis sides space of space straight a space regular space pentagon right parenthesis
therefore space triangle ABC approximately equal to triangle AED space space space space space space by space SAS space congruence end style

Answered by Rashmi Khot | 13th Dec, 2017, 06:12: PM