Question

ABCD trapezium in which AB||CD and AD=BC show that ∆ABC~=∆B
AD

Answer 1

ar ABC= ar BAC

they are on same base and between same parallel lines

also, AD=BC

So, ∆ABC=~∆BAC

Answer 2

bc = bd

ab = ab

angle dab = angle cba

by sas postulate

triangle abc is congurent to triangle bad