Question

In triangle abc e is the midpoint of ab and a straight line 3m and parallel to bc cut csat and if ac is equal to 6 cm then the length of a n is

Answer 1

Step-by-step explanation:

IN ΔAMN ΔABC

Since MN∣∣BC

∠AMN=∠ABC (Corresponding angles)

∠ANM=∠ACB (Corresponding angles)

∴ΔAMN∼ΔABC(By $$AA similarity criterion)

⇒ABAM=ACAN=BCMN(CPST)

Since, M is mid-point of AB,

AM=21AB,or,ABAM=21or,ABAM=ACAN=21ACAN=215AN=21[∵AC=5cm]AN=25cm=2.5cm

Also, ABAM=BCMN=