Question

In ΔABC, D and E are points on side AB and AC respectively such that DE||BC and AD: DB = 3 : 1. If EA = 3.3 cm, then AC =
A. 1.1 cm
B. 4 cm
C. 4.4 cm
D. 5.5 cm

Answer 1

Answer:

Step-by-step explanation:your answer is in attachment

Answer 2

C. 4.4 cm

Step-by-step explanation:

Given:

In ΔABC and ΔADE, angle A is common.

Since DE||BC and AD/DB = 3/1, we know that AE/CE = 3/1.

ΔABC ~ ΔADE (SAS)

Given AE = 3.3cm

So CE will be 1/3 of AE = 1.1 cm.

So AC = AE + CE = 3.3 + 1.1 = 4.4 cm

Option C is the answer.