Question

ABCD is a rectangle in which BC=2AB.a point E lies on CD produced such that CE=2BC.Find AC:BE

Answer 1

Answer:

AC : BE = 1 : 2

Step-by-step explanation:

AB/BC = x/2x = 1/2

BC/CE = 2x/4x = 1/2

In Triangle ABC and Triangle BCE

AB/BC = BC/CE = 1/2

and angle B = angle C = 90 degree

Therefore, Triangle ABC ~ Triangle BCE             [By SAS similarity]

Therefore, AB/BC = BC/CE = AC/BE

=> AC/BE = 1/2 or AC : BE = 1 : 2