Question

In the figure EF=80, FG=120, GH=160 and AD =450 Find AB ,BC and CD.

Answer 1

Answer:

AB = 100

BC = 150

CD = 200

Step-by-step explanation:

Given:

EF = 80 ; FG = 120; GH = 160; AD = 450

so, EG = 80+120 = 200

EH = 80+120+160 = 360

Now by INTERCEPT THEOREM,

AB:AD = EF:EH

AB = 80/360*450 = 100

Similarly AC:AD = EG:EH

AC = AB+BC = 200/360*450 = 250

BC = 250-100 = 150

AD = AB+BC+CD

CD = 450-100-150 = 200