Question

triangle a b c and e b c are on the same base b c .I f a e is produced to intersect b c at d
prove that a r(a b c)/a r(e b c)=ad/e d

Answer 1

if AD is perpendicular on BC 

ar(abc)=1/2*BC*AD --- (1)
ar(ebc)=1/2*BC*ED --- (2)
(1) ÷(2)
=> ar(abc)/ar(ebc)

=ad/ed