Find the area of triangle ABC below?

aops

1 Answer
May 11, 2018

See below

Explanation:

In this triangle we know that

#tan30=6/(AB)=sqrt3/3# by definition of tan. How ever AB is the base of triangle...then #AB=18/sqrt3=18sqrt3/3=6sqrt3#

Finally the area is given by #S=(AB.h)/2=(6sqrt3·6)/2=18sqrt3# square untis