Question

如图,AD,A'D'分别为△ABC和△A'B'C'的高,AB=A'B',BC=B'C',AD=A'D'.那么AC与A'C

Answer 1

∵AD,A'D'分别为△ABC和△A'B'C'的高,BC=B'C',AD=A'D'

∴S△ABC=S△A'B'C'

∴AB*BC*sinB=A'B'*B'C'*sinB'

而AB=A'B',BC=B'C'

∴sinB=sinB'

∴B=B'或B+B'=180°

当B=B时,AC=A'C'

当B+B'=180°时,AC≠A'C'